stats-project
David Grijalva & Ricco Ferraro
11/30/2020
library(tidyverse)
library(ggpubr)
library(ggplot2)
library(car)
library(data.table)
library(mltools)
library(olsrr)
library(scales)
library(caret)
library(dataPreparation)
library(regclass)
# options
#options(scipen = 999)data_train= read_csv("../Data/train.csv")
data_test = read_csv("../Data/test.csv")
#Convert <chr> to <fctr>
data_train = as.data.frame(unclass(data_train))
data_train$Neighborhood = as.factor(data_train$Neighborhood )
data_test = as.data.frame(unclass(data_test))
data_test$Neighborhood = as.factor(data_test$Neighborhood )
# add new remodel variable
data_train$Remodel =ifelse(data_train$YearBuilt==data_train$YearRemodAdd, 0, 1)
data_test$Remodel =ifelse(data_test$YearBuilt==data_test$YearRemodAdd, 0, 1)
data_train$GrLivArea2 = data_train$GrLivArea^2
data_test$GrLivArea2 = data_test$GrLivArea^2
dim(data_train)## [1] 1460 83dim(data_test)## [1] 1459 82 # In this function we will handle missing values ffor numerical and factor columns
impute_missing_values_func = function(data){
# create list of Numerical Columns names
nums_col = data %>% purrr::discard(~!is.numeric(.)) %>% names
# create list of factor Columns names
char_col = data %>% purrr::discard(~!is.character(.)) %>% names
# Create a new dataframe for q2 train data, this is a copy of the original train DF
treated_data = data
# Input NA's in numerical columns with the mediam value per column
for (i in nums_col){
treated_data = treated_data %>% mutate_at(vars(UQ(as.name(i))),~ifelse(is.na(.x), median(.x, na.rm = TRUE), .x))
}
# Create a new factor level called None for each NA in factor columns
for (i in char_col){
treated_data[i][is.na(treated_data[i])] = "None"
}
return(treated_data)
}
show_missing_values = function(data){
missing.values <- data %>%
gather(key = "key", value = "val") %>%
mutate(is.missing = is.na(val)) %>%
group_by(key, is.missing) %>%
summarise(num.missing = n()) %>%
filter(is.missing==T) %>%
select(-is.missing) %>%
arrange(desc(num.missing))
print(missing.values$key)
} # Let's handle the missing values
# show missing values on train DF
#show_missing_values(data_train)
#show_missing_values(data_test)
#data_train_q2 = impute_missing_values_func(data_train)
#data_test_q2 = impute_missing_values_func(data_test)
# show missing values on treated train DF - there should be 0
#show_missing_values(data_train_q2)
#show_missing_values(data_test_q2)#encoding = build_encoding(data_set = data_train_q2, cols = "auto", verbose = TRUE)
#enconded_data_train_q2 = one_hot_encoder(data_set = data_train_q2, encoding = encoding, drop = TRUE, verbose = F)
#enconded_data_test_q2 = one_hot_encoder(data_set = data_test_q2, encoding = encoding, drop = TRUE, verbose = F)
#print(dim(enconded_data_train_q2))
#print(dim(enconded_data_test_q2))# Select relevant columns and Neighborhood
train_data_q1 = data_train %>% select(Id, GrLivArea, Neighborhood, SalePrice ) %>% filter(Neighborhood == "NAmes" | Neighborhood == "Edwards" | Neighborhood == "BrkSide") %>% droplevels()
test_data_q1 = data_test %>% select(Id, GrLivArea, Neighborhood ) %>% filter(Neighborhood == "NAmes" | Neighborhood == "Edwards" | Neighborhood == "BrkSide") %>% droplevels()
selected_features_q2 = c("GrLivArea", "Neighborhood", "LotArea", "YrSold", "SaleCondition", "HouseStyle", "KitchenQual", "YearRemodAdd","GarageCars", "PoolArea", "Fireplaces","BsmtFullBath","BsmtHalfBath","FullBath","HalfBath","BedroomAbvGr","Remodel","OverallQual", "GrLivArea2","X1stFlrSF","X2ndFlrSF","PoolArea")
train_data_q2 = data_train %>% select(Id, selected_features_q2, SalePrice)
# 2.5Fin does not exist in test data so changing it to 1.5Unf
train_data_q2$HouseStyle = as.character(train_data_q2$HouseStyle)
train_data_q2 = train_data_q2 %>% mutate_at(vars(HouseStyle) , ~ifelse(.x=="2.5Fin","1.5Unf",.x ))
train_data_q2$HouseStyle = as.factor(train_data_q2$HouseStyle)
train_data_q2_process = preProcess(train_data_q2[,2:22], method=c("center", "scale"))
train_data_q2 = predict(train_data_q2_process, train_data_q2)
test_data_q2 = data_test %>% select(Id, selected_features_q2)
test_data_q2 = predict(train_data_q2_process, test_data_q2)
test_data_q2$KitchenQual = as.character(test_data_q2$KitchenQual)
test_data_q2 = test_data_q2 %>% mutate_at(vars(KitchenQual) , ~ifelse(is.na(.x),"Ex",.x ))
test_data_q2$KitchenQual = as.factor(test_data_q2$KitchenQual)
# Impute = NA in test data
test_data_q2= test_data_q2 %>% mutate_at(vars(GarageCars),~ifelse(is.na(.x), median(.x, na.rm = TRUE), .x))
test_data_q2= test_data_q2 %>% mutate_at(vars(BsmtFullBath),~ifelse(is.na(.x), median(.x, na.rm = TRUE), .x))
test_data_q2= test_data_q2 %>% mutate_at(vars(BsmtHalfBath),~ifelse(is.na(.x), median(.x, na.rm = TRUE), .x))
summary(test_data_q2)## Id GrLivArea Neighborhood LotArea
## Min. :1461 Min. :-2.10943 NAmes :218 Min. :-0.9064
## 1st Qu.:1826 1st Qu.:-0.75733 OldTown:126 1st Qu.:-0.3132
## Median :2190 Median :-0.15883 CollgCr:117 Median :-0.1120
## Mean :2190 Mean :-0.05598 Somerst: 96 Mean :-0.0699
## 3rd Qu.:2554 3rd Qu.: 0.39114 Edwards: 94 3rd Qu.: 0.1003
## Max. :2919 Max. : 6.81193 NridgHt: 89 Max. : 4.6170
## (Other):719
## YrSold SaleCondition HouseStyle KitchenQual YearRemodAdd
## Min. :-1.36719 Abnorml: 89 1.5Fin:160 Ex:106 Min. :-1.68879
## 1st Qu.:-0.61423 AdjLand: 8 1.5Unf: 5 Fa: 31 1st Qu.:-1.05911
## Median : 0.13873 Alloca : 12 1Story:745 Gd:565 Median : 0.34556
## Mean :-0.03467 Family : 26 2.5Unf: 13 TA:757 Mean :-0.05827
## 3rd Qu.: 0.89169 Normal :1204 2Story:427 3rd Qu.: 0.92680
## Max. : 1.64465 Partial: 120 SFoyer: 46 Max. : 1.21743
## SLvl : 63
## GarageCars PoolArea Fireplaces BsmtFullBath
## Min. :-2.364630 Min. :-0.06867 Min. :-0.95090 Min. :-0.81968
## 1st Qu.:-1.026506 1st Qu.:-0.06867 1st Qu.:-0.95090 1st Qu.:-0.81968
## Median : 0.311618 Median :-0.06867 Median :-0.95090 Median :-0.81968
## Mean :-0.001131 Mean :-0.02525 Mean :-0.04932 Mean : 0.01641
## 3rd Qu.: 0.311618 3rd Qu.:-0.06867 3rd Qu.: 0.60029 3rd Qu.: 1.10743
## Max. : 4.325989 Max. :19.84307 Max. : 5.25386 Max. : 4.96166
##
## BsmtHalfBath FullBath HalfBath BedroomAbvGr
## Min. :-0.24098 Min. :-2.84085 Min. :-0.76136 Min. :-3.51375
## 1st Qu.:-0.24098 1st Qu.:-1.02569 1st Qu.:-0.76136 1st Qu.:-1.06210
## Median :-0.24098 Median : 0.78947 Median :-0.76136 Median : 0.16372
## Mean : 0.03174 Mean : 0.01066 Mean :-0.01038 Mean :-0.01524
## 3rd Qu.:-0.24098 3rd Qu.: 0.78947 3rd Qu.: 1.22717 3rd Qu.: 0.16372
## Max. : 8.13589 Max. : 4.41979 Max. : 3.21569 Max. : 3.84119
##
## Remodel OverallQual GrLivArea2 X1stFlrSF
## Min. :-0.95413 Min. :-3.68715 Min. :-1.16605 Min. :-1.95461
## 1st Qu.:-0.95413 1st Qu.:-0.79488 1st Qu.:-0.64131 1st Qu.:-0.74789
## Median :-0.95413 Median :-0.07181 Median :-0.25286 Median :-0.21632
## Mean :-0.04462 Mean :-0.01482 Mean :-0.06231 Mean :-0.01576
## 3rd Qu.: 1.04735 3rd Qu.: 0.65126 3rd Qu.: 0.18858 3rd Qu.: 0.56875
## Max. : 1.04735 Max. : 2.82046 Max. :11.32970 Max. :10.17201
##
## X2ndFlrSF
## Min. :-0.79489
## 1st Qu.:-0.79489
## Median :-0.79489
## Mean :-0.04816
## 3rd Qu.: 0.75369
## Max. : 3.47058
## nrow(test_data_q2)## [1] 1459unique(train_data_q2$HouseStyle)## [1] 2Story 1Story 1.5Fin 1.5Unf SFoyer SLvl 2.5Unf
## Levels: 1.5Fin 1.5Unf 1Story 2.5Unf 2Story SFoyer SLvlunique(test_data_q2$HouseStyle)## [1] 1Story 2Story SLvl 1.5Fin SFoyer 2.5Unf 1.5Unf
## Levels: 1.5Fin 1.5Unf 1Story 2.5Unf 2Story SFoyer SLvl`
Question of interest Is the square footage of the living area and the neighborhood related to the house sales price neighborhood: NAmes, Edwards and BrkSide Note: For living area provide results in increments of 100 sq. ft.
# Create scatter plot graphing function
scatter_func = function (data, i){
title = paste("SalePrice vs GrLivArea by Neighborhood:", i)
figure = data %>% filter (Neighborhood==i) %>% ggplot(aes(x=GrLivArea, y= SalePrice)) + geom_point() + scale_y_continuous(labels = function(x) format(x, scientific = FALSE)) + geom_smooth(formlula="lm") + ggtitle(paste0(title))
return (figure)
}
hist_boxplot = function (data) {
g1 = data %>% ggplot() + geom_histogram(aes(x=SalePrice), fill="steelblue") + scale_x_continuous(labels = function(x) format(x, scientific = FALSE)) + ggtitle("Histogram of Sale Price")
g2 = data %>% ggplot() + geom_histogram(aes(x=GrLivArea), fill="steelblue") + scale_x_continuous(labels = function(x) format(x, scientific = FALSE)) + ggtitle("Histogram of Square Footage of the Living Area")
g3 = data %>% ggplot() + geom_boxplot(aes(x=Neighborhood, y=SalePrice, fill=Neighborhood)) + scale_y_continuous(labels = function(x) format(x, scientific = FALSE)) + ggtitle("Boxplot of Sale Price by Neighborhood") +
theme(axis.text.x = element_text(angle = 60, hjust = 1, size = 6 ))
figure = ggarrange(g1, g2, g3, ncol=1)
return(figure)
}
press = function (model) {
pr = resid(model)/(1 - lm.influence(model)$hat)
return(sum(pr^2))
}hist_boxplot(train_data_q1)
hist_boxplot(train_data_q2)
for (i in unlist(unique(data_train$Neighborhood)) ) {
print(scatter_func(data_train, i))
}
# ANALYSIS 1
one_encode_train_data_q1 = one_hot(as.data.table(train_data_q1, dropUnusedLevels=TRUE))
#Reference Neighborhood_BrkSide
lm_fit_q1 = lm(SalePrice ~-Id- Neighborhood_BrkSide+ GrLivArea+Neighborhood_Edwards+Neighborhood_NAmes+ Neighborhood_Edwards*GrLivArea+Neighborhood_NAmes*GrLivArea, data = one_encode_train_data_q1)
press(lm_fit_q1)## [1] 340967460744ols_press(lm_fit_q1)## [1] 340967460744summary(lm_fit_q1)##
## Call:
## lm(formula = SalePrice ~ -Id - Neighborhood_BrkSide + GrLivArea +
## Neighborhood_Edwards + Neighborhood_NAmes + Neighborhood_Edwards *
## GrLivArea + Neighborhood_NAmes * GrLivArea, data = one_encode_train_data_q1)
##
## Residuals:
## Min 1Q Median 3Q Max
## -96204 -14568 -310 12601 181131
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 19971.514 12351.125 1.617 0.10672
## GrLivArea 87.163 9.782 8.911 < 2e-16 ***
## Neighborhood_Edwards 68381.591 13969.511 4.895 1.46e-06 ***
## Neighborhood_NAmes 54704.888 13882.334 3.941 9.69e-05 ***
## GrLivArea:Neighborhood_Edwards -57.412 10.718 -5.357 1.48e-07 ***
## GrLivArea:Neighborhood_NAmes -32.847 10.815 -3.037 0.00256 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 28550 on 377 degrees of freedom
## Multiple R-squared: 0.4474, Adjusted R-squared: 0.44
## F-statistic: 61.04 on 5 and 377 DF, p-value: < 2.2e-16confint(lm_fit_q1, level=0.995)## 0.25 % 99.75 %
## (Intercept) -14903.77718 54846.804774
## GrLivArea 59.54168 114.783388
## Neighborhood_Edwards 28936.53793 107826.644037
## Neighborhood_NAmes 15505.99469 93903.780794
## GrLivArea:Neighborhood_Edwards -87.67520 -27.149262
## GrLivArea:Neighborhood_NAmes -63.38554 -2.307803ols_plot_cooksd_bar(lm_fit_q1)
ols_plot_dffits(lm_fit_q1)
ols_plot_diagnostics(lm_fit_q1)
ols_plot_resid_fit(lm_fit_q1)
ols_plot_resid_pot(lm_fit_q1)
ols_pred_rsq(lm_fit_q1)## [1] 0.3869169plot(lm_fit_q1)
ANALYSIS 2
one_encode_train_data_q2 = one_hot(as.data.table(train_data_q2, dropUnusedLevels=TRUE))
one_encode_train_data_q2## Id GrLivArea Neighborhood_Blmngtn Neighborhood_Blueste
## 1: 1 0.3702066 0 0
## 2: 2 -0.4823466 0 0
## 3: 3 0.5148362 0 0
## 4: 4 0.3835277 0 0
## 5: 5 1.2988806 0 0
## ---
## 1456: 1456 0.2503163 0 0
## 1457: 1457 1.0610031 0 0
## 1458: 1458 1.5691096 0 0
## 1459: 1459 -0.8325024 0 0
## 1460: 1460 -0.4937648 0 0
## Neighborhood_BrDale Neighborhood_BrkSide Neighborhood_ClearCr
## 1: 0 0 0
## 2: 0 0 0
## 3: 0 0 0
## 4: 0 0 0
## 5: 0 0 0
## ---
## 1456: 0 0 0
## 1457: 0 0 0
## 1458: 0 0 0
## 1459: 0 0 0
## 1460: 0 0 0
## Neighborhood_CollgCr Neighborhood_Crawfor Neighborhood_Edwards
## 1: 1 0 0
## 2: 0 0 0
## 3: 1 0 0
## 4: 0 1 0
## 5: 0 0 0
## ---
## 1456: 0 0 0
## 1457: 0 0 0
## 1458: 0 1 0
## 1459: 0 0 0
## 1460: 0 0 1
## Neighborhood_Gilbert Neighborhood_IDOTRR Neighborhood_MeadowV
## 1: 0 0 0
## 2: 0 0 0
## 3: 0 0 0
## 4: 0 0 0
## 5: 0 0 0
## ---
## 1456: 1 0 0
## 1457: 0 0 0
## 1458: 0 0 0
## 1459: 0 0 0
## 1460: 0 0 0
## Neighborhood_Mitchel Neighborhood_NAmes Neighborhood_NoRidge
## 1: 0 0 0
## 2: 0 0 0
## 3: 0 0 0
## 4: 0 0 0
## 5: 0 0 1
## ---
## 1456: 0 0 0
## 1457: 0 0 0
## 1458: 0 0 0
## 1459: 0 1 0
## 1460: 0 0 0
## Neighborhood_NPkVill Neighborhood_NridgHt Neighborhood_NWAmes
## 1: 0 0 0
## 2: 0 0 0
## 3: 0 0 0
## 4: 0 0 0
## 5: 0 0 0
## ---
## 1456: 0 0 0
## 1457: 0 0 1
## 1458: 0 0 0
## 1459: 0 0 0
## 1460: 0 0 0
## Neighborhood_OldTown Neighborhood_Sawyer Neighborhood_SawyerW
## 1: 0 0 0
## 2: 0 0 0
## 3: 0 0 0
## 4: 0 0 0
## 5: 0 0 0
## ---
## 1456: 0 0 0
## 1457: 0 0 0
## 1458: 0 0 0
## 1459: 0 0 0
## 1460: 0 0 0
## Neighborhood_Somerst Neighborhood_StoneBr Neighborhood_SWISU
## 1: 0 0 0
## 2: 0 0 0
## 3: 0 0 0
## 4: 0 0 0
## 5: 0 0 0
## ---
## 1456: 0 0 0
## 1457: 0 0 0
## 1458: 0 0 0
## 1459: 0 0 0
## 1460: 0 0 0
## Neighborhood_Timber Neighborhood_Veenker LotArea YrSold
## 1: 0 0 -0.20707076 0.1387300
## 2: 0 1 -0.09185490 -0.6142282
## 3: 0 0 0.07345481 0.1387300
## 4: 0 0 -0.09686428 -1.3671863
## 5: 0 0 0.37501979 0.1387300
## ---
## 1456: 0 0 -0.26047080 -0.6142282
## 1457: 0 0 0.26631614 1.6446462
## 1458: 0 0 -0.14775964 1.6446462
## 1459: 0 0 -0.08013294 1.6446462
## 1460: 0 0 -0.05809164 0.1387300
## SaleCondition_Abnorml SaleCondition_AdjLand SaleCondition_Alloca
## 1: 0 0 0
## 2: 0 0 0
## 3: 0 0 0
## 4: 1 0 0
## 5: 0 0 0
## ---
## 1456: 0 0 0
## 1457: 0 0 0
## 1458: 0 0 0
## 1459: 0 0 0
## 1460: 0 0 0
## SaleCondition_Family SaleCondition_Normal SaleCondition_Partial
## 1: 0 1 0
## 2: 0 1 0
## 3: 0 1 0
## 4: 0 0 0
## 5: 0 1 0
## ---
## 1456: 0 1 0
## 1457: 0 1 0
## 1458: 0 1 0
## 1459: 0 1 0
## 1460: 0 1 0
## HouseStyle_1.5Fin HouseStyle_1.5Unf HouseStyle_1Story HouseStyle_2.5Unf
## 1: 0 0 0 0
## 2: 0 0 1 0
## 3: 0 0 0 0
## 4: 0 0 0 0
## 5: 0 0 0 0
## ---
## 1456: 0 0 0 0
## 1457: 0 0 1 0
## 1458: 0 0 0 0
## 1459: 0 0 1 0
## 1460: 0 0 1 0
## HouseStyle_2Story HouseStyle_SFoyer HouseStyle_SLvl KitchenQual_Ex
## 1: 1 0 0 0
## 2: 0 0 0 0
## 3: 1 0 0 0
## 4: 1 0 0 0
## 5: 1 0 0 0
## ---
## 1456: 1 0 0 0
## 1457: 0 0 0 0
## 1458: 1 0 0 0
## 1459: 0 0 0 0
## 1460: 0 0 0 0
## KitchenQual_Fa KitchenQual_Gd KitchenQual_TA YearRemodAdd GarageCars
## 1: 0 1 0 0.8783671 0.3116179
## 2: 0 0 1 -0.4294298 0.3116179
## 3: 0 1 0 0.8299302 0.3116179
## 4: 0 1 0 -0.7200514 1.6497417
## 5: 0 1 0 0.7330564 1.6497417
## ---
## 1456: 0 0 1 0.7330564 0.3116179
## 1457: 0 0 1 0.1518133 0.3116179
## 1458: 0 1 0 1.0236779 -1.0265059
## 1459: 0 1 0 0.5393087 -1.0265059
## 1460: 0 0 1 -0.9622360 -1.0265059
## PoolArea Fireplaces BsmtFullBath BsmtHalfBath FullBath HalfBath
## 1: -0.06866822 -0.9509007 1.1074307 -0.2409785 0.789470 1.2271649
## 2: -0.06866822 0.6002892 -0.8196835 3.9474568 0.789470 -0.7613598
## 3: -0.06866822 0.6002892 1.1074307 -0.2409785 0.789470 1.2271649
## 4: -0.06866822 0.6002892 1.1074307 -0.2409785 -1.025689 -0.7613598
## 5: -0.06866822 0.6002892 1.1074307 -0.2409785 0.789470 1.2271649
## ---
## 1456: -0.06866822 0.6002892 -0.8196835 -0.2409785 0.789470 1.2271649
## 1457: -0.06866822 2.1514792 1.1074307 -0.2409785 0.789470 -0.7613598
## 1458: -0.06866822 2.1514792 -0.8196835 -0.2409785 0.789470 -0.7613598
## 1459: -0.06866822 -0.9509007 1.1074307 -0.2409785 -1.025689 -0.7613598
## 1460: -0.06866822 -0.9509007 1.1074307 -0.2409785 -1.025689 1.2271649
## BedroomAbvGr Remodel OverallQual GrLivArea2 X1stFlrSF X2ndFlrSF
## 1: 0.163723 -0.9541335 0.65125610 0.17030031 -0.79316202 1.1614536
## 2: 0.163723 -0.9541335 -0.07181151 -0.47473095 0.25705235 -0.7948909
## 3: 0.163723 1.0473535 0.65125610 0.29901821 -0.62761099 1.1889432
## 4: 0.163723 1.0473535 0.65125610 0.18192191 -0.52155486 0.9369551
## 5: 1.389547 -0.9541335 1.37432370 1.09420744 -0.04559563 1.6173231
## ---
## 1456: 0.163723 1.0473535 -0.07181151 0.06784232 -0.54224874 0.7949254
## 1457: 0.163723 1.0473535 -0.07181151 0.83556873 2.35489437 -0.7948909
## 1458: 1.389547 1.0473535 0.65125610 1.40638866 0.06563397 1.8441125
## 1459: -1.062101 1.0473535 -0.79487911 -0.68331813 -0.21890687 -0.7948909
## 1460: 0.163723 -0.9541335 -0.79487911 -0.48205010 0.24153194 -0.7948909
## SalePrice
## 1: 208500
## 2: 181500
## 3: 223500
## 4: 140000
## 5: 250000
## ---
## 1456: 175000
## 1457: 210000
## 1458: 266500
## 1459: 142125
## 1460: 147500one_encode_test_data_q2 = one_hot(as.data.table(test_data_q2, dropUnusedLevels=TRUE))
#Refferences: Neighborhood_BrkSide KitchenQual_TA HouseStyle_SLvl SaleCondition_Partial
lm_fit_q2 = lm(SalePrice ~.-SaleCondition_Partial-Id-HouseStyle_SLvl-Neighborhood_BrkSide-KitchenQual_TA+
(Neighborhood_Blmngtn+Neighborhood_Blueste+Neighborhood_BrDale+Neighborhood_ClearCr+Neighborhood_CollgCr+Neighborhood_Crawfor+Neighborhood_Edwards+Neighborhood_Gilbert+Neighborhood_IDOTRR+Neighborhood_MeadowV+Neighborhood_Mitchel+Neighborhood_NAmes+Neighborhood_NPkVill+Neighborhood_NridgHt+Neighborhood_NWAmes+Neighborhood_OldTown+Neighborhood_Sawyer+Neighborhood_SawyerW+Neighborhood_Somerst+Neighborhood_StoneBr+Neighborhood_SWISU+Neighborhood_Timber+Neighborhood_Veenker+SaleCondition_Abnorml+SaleCondition_AdjLand+SaleCondition_Alloca+SaleCondition_Family+SaleCondition_Normal+HouseStyle_1.5Fin+HouseStyle_1.5Unf+HouseStyle_1Story+HouseStyle_2.5Unf+HouseStyle_2Story+HouseStyle_SFoyer+KitchenQual_Ex+KitchenQual_Fa+KitchenQual_Gd )*GrLivArea +
(Neighborhood_Blmngtn+Neighborhood_BrDale+Neighborhood_ClearCr+Neighborhood_CollgCr+Neighborhood_Crawfor+Neighborhood_Edwards+Neighborhood_Gilbert+Neighborhood_IDOTRR+Neighborhood_MeadowV+Neighborhood_Mitchel+Neighborhood_NAmes+Neighborhood_NPkVill+Neighborhood_NridgHt+Neighborhood_NWAmes+Neighborhood_OldTown+Neighborhood_Sawyer+Neighborhood_SawyerW+Neighborhood_Somerst+Neighborhood_StoneBr+Neighborhood_SWISU+Neighborhood_Timber+Neighborhood_Veenker+SaleCondition_Abnorml+SaleCondition_AdjLand+SaleCondition_Alloca+SaleCondition_Family+SaleCondition_Normal+HouseStyle_1.5Fin+HouseStyle_1.5Unf+HouseStyle_1Story+HouseStyle_2.5Unf+HouseStyle_2Story+HouseStyle_SFoyer+KitchenQual_Ex+KitchenQual_Fa+KitchenQual_Gd)*GrLivArea2 +
(Neighborhood_Blmngtn+Neighborhood_BrDale+Neighborhood_ClearCr+Neighborhood_CollgCr+Neighborhood_Crawfor+Neighborhood_Edwards+Neighborhood_Gilbert+Neighborhood_IDOTRR+Neighborhood_MeadowV+Neighborhood_Mitchel+Neighborhood_NAmes+Neighborhood_NPkVill+Neighborhood_NridgHt+Neighborhood_NWAmes+Neighborhood_OldTown+Neighborhood_Sawyer+Neighborhood_SawyerW+Neighborhood_Somerst+Neighborhood_StoneBr+Neighborhood_SWISU+Neighborhood_Timber+Neighborhood_Veenker+SaleCondition_Abnorml+SaleCondition_AdjLand+SaleCondition_Alloca+SaleCondition_Family+SaleCondition_Normal+HouseStyle_1.5Fin+HouseStyle_1.5Unf+HouseStyle_1Story+HouseStyle_2.5Unf+HouseStyle_2Story+HouseStyle_SFoyer)*LotArea +
(Neighborhood_Blmngtn+Neighborhood_BrDale+Neighborhood_ClearCr+Neighborhood_CollgCr+Neighborhood_Crawfor+Neighborhood_Edwards+Neighborhood_Gilbert+Neighborhood_IDOTRR+Neighborhood_MeadowV+Neighborhood_Mitchel+Neighborhood_NAmes+Neighborhood_NPkVill+Neighborhood_NridgHt+Neighborhood_NWAmes+Neighborhood_OldTown+Neighborhood_Sawyer+Neighborhood_SawyerW+Neighborhood_Somerst+Neighborhood_StoneBr+Neighborhood_SWISU+Neighborhood_Timber+Neighborhood_Veenker+SaleCondition_Abnorml+SaleCondition_Alloca+SaleCondition_Family+SaleCondition_Normal+HouseStyle_1.5Fin+HouseStyle_1.5Unf+HouseStyle_1Story+HouseStyle_2.5Unf+HouseStyle_2Story+HouseStyle_SFoyer+KitchenQual_Ex+KitchenQual_Fa+KitchenQual_Gd ) * BedroomAbvGr
, data = one_encode_train_data_q2)
# lm_fit_q2 = lm(SalePrice ~.-Id
# - SaleCondition.Family
# -SaleType.Oth
# -MiscFeature.TenC
# -Fence.MnWw
# -PoolQC.Gd
# -PavedDrive.P
# -GarageCond.Ex
# -GarageCond.None
# -GarageQual.Po
# -GarageFinish.Fin
# -GarageType.CarPort
# -FireplaceQu.Po
# -Functional.Sev
# -KitchenQual.Fa
# -Electrical.None
# -CentralAir.N
# -HeatingQC.Po
# -Heating.Floor
# -BsmtFinType2.GLQ
# -BsmtFinType1.LwQ
# -BsmtExposure.None
# -BsmtCond.Po
# -BsmtCond.None
# -BsmtQual.Fa
# -Foundation.Stone
# -ExterCond.Ex
# -ExterQual.Fa
# -MasVnrType.BrkCmn
# -Exterior2nd.CBlock
# -Exterior1st.CBlock
# -RoofMatl.ClyTile
# -RoofStyle.Shed
# -HouseStyle.2.5Fin
# -BldgType.Twnhs
# -Condition2.RRAe
# -Condition1.RRNe
# -Neighborhood.Blueste
# -MSZoning.RH
# -Alley.Pave
# -Utilities.NoSeWa
# -LotConfig.FR3
# -LandSlope.Sev
# -Street.Grvl
# , enconded_data_train_q2)
summary(lm_fit_q2)##
## Call:
## lm(formula = SalePrice ~ . - SaleCondition_Partial - Id - HouseStyle_SLvl -
## Neighborhood_BrkSide - KitchenQual_TA + (Neighborhood_Blmngtn +
## Neighborhood_Blueste + Neighborhood_BrDale + Neighborhood_ClearCr +
## Neighborhood_CollgCr + Neighborhood_Crawfor + Neighborhood_Edwards +
## Neighborhood_Gilbert + Neighborhood_IDOTRR + Neighborhood_MeadowV +
## Neighborhood_Mitchel + Neighborhood_NAmes + Neighborhood_NPkVill +
## Neighborhood_NridgHt + Neighborhood_NWAmes + Neighborhood_OldTown +
## Neighborhood_Sawyer + Neighborhood_SawyerW + Neighborhood_Somerst +
## Neighborhood_StoneBr + Neighborhood_SWISU + Neighborhood_Timber +
## Neighborhood_Veenker + SaleCondition_Abnorml + SaleCondition_AdjLand +
## SaleCondition_Alloca + SaleCondition_Family + SaleCondition_Normal +
## HouseStyle_1.5Fin + HouseStyle_1.5Unf + HouseStyle_1Story +
## HouseStyle_2.5Unf + HouseStyle_2Story + HouseStyle_SFoyer +
## KitchenQual_Ex + KitchenQual_Fa + KitchenQual_Gd) * GrLivArea +
## (Neighborhood_Blmngtn + Neighborhood_BrDale + Neighborhood_ClearCr +
## Neighborhood_CollgCr + Neighborhood_Crawfor + Neighborhood_Edwards +
## Neighborhood_Gilbert + Neighborhood_IDOTRR + Neighborhood_MeadowV +
## Neighborhood_Mitchel + Neighborhood_NAmes + Neighborhood_NPkVill +
## Neighborhood_NridgHt + Neighborhood_NWAmes + Neighborhood_OldTown +
## Neighborhood_Sawyer + Neighborhood_SawyerW + Neighborhood_Somerst +
## Neighborhood_StoneBr + Neighborhood_SWISU + Neighborhood_Timber +
## Neighborhood_Veenker + SaleCondition_Abnorml + SaleCondition_AdjLand +
## SaleCondition_Alloca + SaleCondition_Family + SaleCondition_Normal +
## HouseStyle_1.5Fin + HouseStyle_1.5Unf + HouseStyle_1Story +
## HouseStyle_2.5Unf + HouseStyle_2Story + HouseStyle_SFoyer +
## KitchenQual_Ex + KitchenQual_Fa + KitchenQual_Gd) * GrLivArea2 +
## (Neighborhood_Blmngtn + Neighborhood_BrDale + Neighborhood_ClearCr +
## Neighborhood_CollgCr + Neighborhood_Crawfor + Neighborhood_Edwards +
## Neighborhood_Gilbert + Neighborhood_IDOTRR + Neighborhood_MeadowV +
## Neighborhood_Mitchel + Neighborhood_NAmes + Neighborhood_NPkVill +
## Neighborhood_NridgHt + Neighborhood_NWAmes + Neighborhood_OldTown +
## Neighborhood_Sawyer + Neighborhood_SawyerW + Neighborhood_Somerst +
## Neighborhood_StoneBr + Neighborhood_SWISU + Neighborhood_Timber +
## Neighborhood_Veenker + SaleCondition_Abnorml + SaleCondition_AdjLand +
## SaleCondition_Alloca + SaleCondition_Family + SaleCondition_Normal +
## HouseStyle_1.5Fin + HouseStyle_1.5Unf + HouseStyle_1Story +
## HouseStyle_2.5Unf + HouseStyle_2Story + HouseStyle_SFoyer) *
## LotArea + (Neighborhood_Blmngtn + Neighborhood_BrDale +
## Neighborhood_ClearCr + Neighborhood_CollgCr + Neighborhood_Crawfor +
## Neighborhood_Edwards + Neighborhood_Gilbert + Neighborhood_IDOTRR +
## Neighborhood_MeadowV + Neighborhood_Mitchel + Neighborhood_NAmes +
## Neighborhood_NPkVill + Neighborhood_NridgHt + Neighborhood_NWAmes +
## Neighborhood_OldTown + Neighborhood_Sawyer + Neighborhood_SawyerW +
## Neighborhood_Somerst + Neighborhood_StoneBr + Neighborhood_SWISU +
## Neighborhood_Timber + Neighborhood_Veenker + SaleCondition_Abnorml +
## SaleCondition_Alloca + SaleCondition_Family + SaleCondition_Normal +
## HouseStyle_1.5Fin + HouseStyle_1.5Unf + HouseStyle_1Story +
## HouseStyle_2.5Unf + HouseStyle_2Story + HouseStyle_SFoyer +
## KitchenQual_Ex + KitchenQual_Fa + KitchenQual_Gd) * BedroomAbvGr,
## data = one_encode_train_data_q2)
##
## Residuals:
## Min 1Q Median 3Q Max
## -152170 -10653 -481 11008 128503
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.983e+05 7.142e+03 27.769 < 2e-16 ***
## GrLivArea -3.482e+04 3.513e+04 -0.991 0.321714
## Neighborhood_Blmngtn -1.504e+05 1.706e+05 -0.882 0.378121
## Neighborhood_Blueste -1.501e+04 2.074e+04 -0.723 0.469552
## Neighborhood_BrDale 1.419e+05 3.258e+05 0.436 0.663244
## Neighborhood_ClearCr -1.417e+04 8.074e+03 -1.755 0.079471 .
## Neighborhood_CollgCr -7.054e+03 5.303e+03 -1.330 0.183749
## Neighborhood_Crawfor 1.366e+03 5.770e+03 0.237 0.812821
## Neighborhood_Edwards -3.253e+04 5.335e+03 -6.098 1.43e-09 ***
## Neighborhood_Gilbert -1.188e+04 7.477e+03 -1.588 0.112451
## Neighborhood_IDOTRR -1.641e+04 1.524e+04 -1.077 0.281635
## Neighborhood_MeadowV -9.914e+03 7.839e+04 -0.126 0.899379
## Neighborhood_Mitchel -1.609e+04 7.288e+03 -2.208 0.027452 *
## Neighborhood_NAmes -2.410e+04 4.890e+03 -4.928 9.42e-07 ***
## Neighborhood_NoRidge -7.539e+03 1.025e+04 -0.735 0.462325
## Neighborhood_NPkVill 7.733e+05 1.238e+06 0.625 0.532185
## Neighborhood_NridgHt -8.992e+03 9.384e+03 -0.958 0.338094
## Neighborhood_NWAmes -1.951e+04 6.856e+03 -2.846 0.004493 **
## Neighborhood_OldTown -2.664e+04 5.170e+03 -5.153 2.98e-07 ***
## Neighborhood_Sawyer -2.465e+04 6.557e+03 -3.760 0.000178 ***
## Neighborhood_SawyerW -1.631e+04 5.693e+03 -2.865 0.004243 **
## Neighborhood_Somerst -4.316e+03 8.346e+03 -0.517 0.605175
## Neighborhood_StoneBr 3.289e+03 1.030e+04 0.319 0.749546
## Neighborhood_SWISU -2.732e+04 9.945e+03 -2.748 0.006090 **
## Neighborhood_Timber -1.937e+04 8.458e+03 -2.290 0.022185 *
## Neighborhood_Veenker -5.665e+03 1.940e+04 -0.292 0.770306
## LotArea 2.404e+04 1.360e+04 1.768 0.077294 .
## YrSold -9.853e+01 6.349e+02 -0.155 0.876688
## SaleCondition_Abnorml -2.107e+04 4.389e+03 -4.800 1.78e-06 ***
## SaleCondition_AdjLand -1.059e+06 1.939e+06 -0.546 0.585111
## SaleCondition_Alloca -1.930e+04 8.939e+03 -2.159 0.031007 *
## SaleCondition_Family -1.859e+04 9.584e+03 -1.939 0.052680 .
## SaleCondition_Normal -8.004e+03 3.551e+03 -2.254 0.024374 *
## HouseStyle_1.5Fin -8.128e+03 4.827e+03 -1.684 0.092477 .
## HouseStyle_1.5Unf -1.901e+04 1.476e+04 -1.288 0.197928
## HouseStyle_1Story 2.697e+03 4.294e+03 0.628 0.530086
## HouseStyle_2.5Unf 1.408e+04 1.716e+04 0.821 0.412019
## HouseStyle_2Story -6.890e+03 5.489e+03 -1.255 0.209662
## HouseStyle_SFoyer 5.589e+03 1.386e+04 0.403 0.686903
## KitchenQual_Ex 2.136e+04 4.713e+03 4.533 6.37e-06 ***
## KitchenQual_Fa -5.609e+03 6.181e+03 -0.908 0.364314
## KitchenQual_Gd 6.855e+03 2.045e+03 3.351 0.000828 ***
## YearRemodAdd 5.199e+03 1.016e+03 5.118 3.57e-07 ***
## GarageCars 4.872e+03 9.448e+02 5.157 2.92e-07 ***
## PoolArea 1.628e+03 8.013e+02 2.032 0.042383 *
## Fireplaces 3.885e+03 8.196e+02 4.740 2.38e-06 ***
## BsmtFullBath 7.269e+03 7.275e+02 9.992 < 2e-16 ***
## BsmtHalfBath 2.649e+03 6.859e+02 3.863 0.000118 ***
## FullBath 5.735e+03 1.195e+03 4.798 1.79e-06 ***
## HalfBath 4.245e+03 1.010e+03 4.205 2.80e-05 ***
## BedroomAbvGr -1.936e+04 7.295e+03 -2.653 0.008073 **
## Remodel 7.754e+01 7.854e+02 0.099 0.921367
## OverallQual 1.738e+04 1.217e+03 14.279 < 2e-16 ***
## GrLivArea2 9.665e+04 3.881e+04 2.490 0.012897 *
## X1stFlrSF 6.826e+03 7.293e+03 0.936 0.349520
## X2ndFlrSF 2.912e+03 7.881e+03 0.370 0.711787
## GrLivArea:Neighborhood_Blmngtn -2.356e+05 5.992e+05 -0.393 0.694236
## GrLivArea:Neighborhood_Blueste -1.158e+04 5.144e+04 -0.225 0.821990
## GrLivArea:Neighborhood_BrDale -6.062e+05 1.248e+06 -0.486 0.627084
## GrLivArea:Neighborhood_ClearCr 1.008e+05 3.826e+04 2.633 0.008555 **
## GrLivArea:Neighborhood_CollgCr -1.885e+04 1.903e+04 -0.991 0.321942
## GrLivArea:Neighborhood_Crawfor 3.370e+04 2.044e+04 1.649 0.099495 .
## GrLivArea:Neighborhood_Edwards 5.700e+04 1.742e+04 3.271 0.001100 **
## GrLivArea:Neighborhood_Gilbert -4.772e+03 4.083e+04 -0.117 0.906981
## GrLivArea:Neighborhood_IDOTRR 1.454e+04 4.729e+04 0.307 0.758529
## GrLivArea:Neighborhood_MeadowV 5.525e+04 8.653e+04 0.639 0.523237
## GrLivArea:Neighborhood_Mitchel -5.117e+04 4.223e+04 -1.212 0.225859
## GrLivArea:Neighborhood_NAmes -1.035e+04 1.626e+04 -0.637 0.524549
## GrLivArea:Neighborhood_NPkVill 1.998e+06 3.135e+06 0.638 0.523899
## GrLivArea:Neighborhood_NridgHt 6.194e+04 3.625e+04 1.709 0.087745 .
## GrLivArea:Neighborhood_NWAmes 1.436e+04 2.761e+04 0.520 0.602940
## GrLivArea:Neighborhood_OldTown -2.676e+04 1.727e+04 -1.550 0.121502
## GrLivArea:Neighborhood_Sawyer -2.527e+04 2.601e+04 -0.972 0.331379
## GrLivArea:Neighborhood_SawyerW 1.530e+04 1.895e+04 0.808 0.419444
## GrLivArea:Neighborhood_Somerst 7.186e+04 4.040e+04 1.779 0.075518 .
## GrLivArea:Neighborhood_StoneBr 1.005e+05 3.705e+04 2.711 0.006795 **
## GrLivArea:Neighborhood_SWISU 9.375e+03 2.627e+04 0.357 0.721272
## GrLivArea:Neighborhood_Timber 1.009e+05 4.285e+04 2.355 0.018653 *
## GrLivArea:Neighborhood_Veenker 8.075e+04 1.786e+05 0.452 0.651243
## GrLivArea:SaleCondition_Abnorml -2.428e+04 2.078e+04 -1.168 0.242901
## GrLivArea:SaleCondition_AdjLand 2.697e+06 4.834e+06 0.558 0.577011
## GrLivArea:SaleCondition_Alloca 9.508e+04 7.756e+04 1.226 0.220431
## GrLivArea:SaleCondition_Family -1.917e+03 5.582e+04 -0.034 0.972614
## GrLivArea:SaleCondition_Normal -1.461e+04 1.970e+04 -0.741 0.458595
## GrLivArea:HouseStyle_1.5Fin 5.581e+04 2.733e+04 2.042 0.041317 *
## GrLivArea:HouseStyle_1.5Unf 1.405e+04 3.820e+04 0.368 0.713047
## GrLivArea:HouseStyle_1Story 5.459e+04 2.477e+04 2.204 0.027716 *
## GrLivArea:HouseStyle_2.5Unf -3.781e+04 6.599e+04 -0.573 0.566819
## GrLivArea:HouseStyle_2Story 2.327e+04 2.679e+04 0.869 0.385240
## GrLivArea:HouseStyle_SFoyer 7.430e+03 6.856e+04 0.108 0.913724
## GrLivArea:KitchenQual_Ex 1.619e+04 1.514e+04 1.069 0.285187
## GrLivArea:KitchenQual_Fa -1.460e+04 1.994e+04 -0.732 0.464134
## GrLivArea:KitchenQual_Gd 1.632e+04 1.052e+04 1.552 0.120977
## Neighborhood_Blmngtn:GrLivArea2 3.663e+05 8.552e+05 0.428 0.668480
## Neighborhood_BrDale:GrLivArea2 1.036e+06 2.076e+06 0.499 0.617867
## Neighborhood_ClearCr:GrLivArea2 -1.247e+05 3.744e+04 -3.331 0.000891 ***
## Neighborhood_CollgCr:GrLivArea2 2.501e+03 2.149e+04 0.116 0.907382
## Neighborhood_Crawfor:GrLivArea2 -4.199e+04 1.939e+04 -2.166 0.030526 *
## Neighborhood_Edwards:GrLivArea2 -1.169e+05 1.910e+04 -6.122 1.23e-09 ***
## Neighborhood_Gilbert:GrLivArea2 -2.894e+03 4.542e+04 -0.064 0.949205
## Neighborhood_IDOTRR:GrLivArea2 -2.987e+04 7.840e+04 -0.381 0.703277
## Neighborhood_MeadowV:GrLivArea2 -9.104e+04 7.772e+04 -1.171 0.241694
## Neighborhood_Mitchel:GrLivArea2 4.765e+04 5.821e+04 0.819 0.413160
## Neighborhood_NAmes:GrLivArea2 -2.940e+04 1.787e+04 -1.646 0.100103
## Neighborhood_NPkVill:GrLivArea2 -2.775e+06 4.297e+06 -0.646 0.518580
## Neighborhood_NridgHt:GrLivArea2 -5.122e+04 3.405e+04 -1.504 0.132807
## Neighborhood_NWAmes:GrLivArea2 -3.134e+04 2.746e+04 -1.142 0.253862
## Neighborhood_OldTown:GrLivArea2 6.183e+03 1.848e+04 0.335 0.738034
## Neighborhood_Sawyer:GrLivArea2 -4.763e+03 3.259e+04 -0.146 0.883829
## Neighborhood_SawyerW:GrLivArea2 -2.627e+04 1.971e+04 -1.333 0.182819
## Neighborhood_Somerst:GrLivArea2 -8.956e+04 4.374e+04 -2.047 0.040829 *
## Neighborhood_StoneBr:GrLivArea2 -1.019e+05 3.669e+04 -2.778 0.005553 **
## Neighborhood_SWISU:GrLivArea2 -4.568e+04 2.905e+04 -1.573 0.116046
## Neighborhood_Timber:GrLivArea2 -1.062e+05 4.205e+04 -2.525 0.011680 *
## Neighborhood_Veenker:GrLivArea2 -9.319e+04 2.127e+05 -0.438 0.661378
## SaleCondition_Abnorml:GrLivArea2 -3.204e+03 2.156e+04 -0.149 0.881873
## SaleCondition_AdjLand:GrLivArea2 -4.891e+06 8.782e+06 -0.557 0.577693
## SaleCondition_Alloca:GrLivArea2 -8.412e+04 6.844e+04 -1.229 0.219265
## SaleCondition_Family:GrLivArea2 -3.929e+04 6.673e+04 -0.589 0.556131
## SaleCondition_Normal:GrLivArea2 -4.285e+03 2.059e+04 -0.208 0.835206
## HouseStyle_1.5Fin:GrLivArea2 -6.322e+04 3.048e+04 -2.074 0.038285 *
## HouseStyle_1.5Unf:GrLivArea2 -2.959e+04 4.212e+04 -0.703 0.482361
## HouseStyle_1Story:GrLivArea2 -5.306e+04 2.843e+04 -1.867 0.062187 .
## HouseStyle_2.5Unf:GrLivArea2 1.454e+04 6.850e+04 0.212 0.831907
## HouseStyle_2Story:GrLivArea2 -3.211e+04 2.932e+04 -1.095 0.273734
## HouseStyle_SFoyer:GrLivArea2 1.542e+04 1.005e+05 0.153 0.878093
## KitchenQual_Ex:GrLivArea2 -1.140e+03 1.564e+04 -0.073 0.941903
## KitchenQual_Fa:GrLivArea2 2.244e+04 2.485e+04 0.903 0.366641
## KitchenQual_Gd:GrLivArea2 -7.884e+03 1.234e+04 -0.639 0.522930
## Neighborhood_Blmngtn:LotArea -3.032e+05 1.673e+05 -1.812 0.070204 .
## Neighborhood_BrDale:LotArea -5.495e+04 4.375e+05 -0.126 0.900067
## Neighborhood_ClearCr:LotArea -2.101e+04 5.934e+03 -3.541 0.000413 ***
## Neighborhood_CollgCr:LotArea -1.384e+04 1.163e+04 -1.190 0.234311
## Neighborhood_Crawfor:LotArea -2.893e+04 9.354e+03 -3.092 0.002031 **
## Neighborhood_Edwards:LotArea 5.639e+03 9.351e+03 0.603 0.546616
## Neighborhood_Gilbert:LotArea -8.742e+03 7.679e+03 -1.139 0.255126
## Neighborhood_IDOTRR:LotArea -6.556e+03 1.627e+04 -0.403 0.686980
## Neighborhood_MeadowV:LotArea 8.550e+03 8.740e+04 0.098 0.922084
## Neighborhood_Mitchel:LotArea -2.027e+04 8.202e+03 -2.471 0.013608 *
## Neighborhood_NAmes:LotArea -1.837e+04 8.050e+03 -2.282 0.022639 *
## Neighborhood_NPkVill:LotArea 1.420e+06 2.212e+06 0.642 0.520998
## Neighborhood_NridgHt:LotArea 3.429e+04 1.156e+04 2.967 0.003063 **
## Neighborhood_NWAmes:LotArea -1.717e+04 1.168e+04 -1.471 0.141639
## Neighborhood_OldTown:LotArea -5.021e+03 1.009e+04 -0.497 0.618990
## Neighborhood_Sawyer:LotArea -2.524e+04 1.084e+04 -2.329 0.020009 *
## Neighborhood_SawyerW:LotArea 1.725e+04 1.571e+04 1.098 0.272253
## Neighborhood_Somerst:LotArea 8.068e+03 1.000e+04 0.807 0.419963
## Neighborhood_StoneBr:LotArea 7.773e+03 1.016e+04 0.765 0.444505
## Neighborhood_SWISU:LotArea -2.234e+04 2.671e+04 -0.836 0.403205
## Neighborhood_Timber:LotArea -2.187e+04 5.865e+03 -3.729 0.000201 ***
## Neighborhood_Veenker:LotArea -1.497e+04 1.111e+04 -1.347 0.178072
## LotArea:SaleCondition_Abnorml 1.182e+04 9.531e+03 1.240 0.215320
## LotArea:SaleCondition_AdjLand 1.049e+05 1.408e+05 0.745 0.456663
## LotArea:SaleCondition_Alloca -2.511e+04 1.722e+04 -1.458 0.145101
## LotArea:SaleCondition_Family 3.477e+04 2.085e+04 1.667 0.095721 .
## LotArea:SaleCondition_Normal 2.208e+04 7.239e+03 3.050 0.002334 **
## LotArea:HouseStyle_1.5Fin -2.293e+04 9.898e+03 -2.316 0.020706 *
## LotArea:HouseStyle_1.5Unf -2.850e+04 3.278e+04 -0.869 0.384782
## LotArea:HouseStyle_1Story -2.028e+04 9.852e+03 -2.058 0.039777 *
## LotArea:HouseStyle_2.5Unf 4.134e+04 4.462e+04 0.927 0.354354
## LotArea:HouseStyle_2Story -1.934e+04 1.029e+04 -1.880 0.060371 .
## LotArea:HouseStyle_SFoyer -1.500e+04 2.127e+04 -0.705 0.480826
## Neighborhood_Blmngtn:BedroomAbvGr 2.921e+04 1.422e+04 2.054 0.040152 *
## Neighborhood_BrDale:BedroomAbvGr 1.724e+04 2.690e+04 0.641 0.521677
## Neighborhood_ClearCr:BedroomAbvGr 5.823e+03 5.179e+03 1.124 0.261058
## Neighborhood_CollgCr:BedroomAbvGr 1.221e+04 5.367e+03 2.276 0.023022 *
## Neighborhood_Crawfor:BedroomAbvGr -2.831e+03 6.023e+03 -0.470 0.638492
## Neighborhood_Edwards:BedroomAbvGr 9.711e+03 5.281e+03 1.839 0.066160 .
## Neighborhood_Gilbert:BedroomAbvGr -1.335e+03 7.374e+03 -0.181 0.856376
## Neighborhood_IDOTRR:BedroomAbvGr 7.106e+03 8.804e+03 0.807 0.419737
## Neighborhood_MeadowV:BedroomAbvGr -3.098e+03 2.275e+04 -0.136 0.891695
## Neighborhood_Mitchel:BedroomAbvGr 1.882e+03 5.450e+03 0.345 0.729965
## Neighborhood_NAmes:BedroomAbvGr 1.273e+04 4.540e+03 2.803 0.005138 **
## Neighborhood_NPkVill:BedroomAbvGr 8.028e+04 1.106e+05 0.726 0.468034
## Neighborhood_NridgHt:BedroomAbvGr -1.589e+04 5.910e+03 -2.689 0.007266 **
## Neighborhood_NWAmes:BedroomAbvGr -3.236e+02 6.613e+03 -0.049 0.960983
## Neighborhood_OldTown:BedroomAbvGr 3.695e+03 4.965e+03 0.744 0.456914
## Neighborhood_Sawyer:BedroomAbvGr 9.478e+03 5.684e+03 1.667 0.095673 .
## Neighborhood_SawyerW:BedroomAbvGr -7.427e+03 5.974e+03 -1.243 0.214042
## Neighborhood_Somerst:BedroomAbvGr 7.649e+03 5.917e+03 1.293 0.196349
## Neighborhood_StoneBr:BedroomAbvGr 2.172e+03 6.648e+03 0.327 0.743905
## Neighborhood_SWISU:BedroomAbvGr 1.226e+04 7.140e+03 1.717 0.086145 .
## Neighborhood_Timber:BedroomAbvGr -5.674e+02 6.636e+03 -0.085 0.931879
## Neighborhood_Veenker:BedroomAbvGr 7.185e+02 1.012e+04 0.071 0.943411
## SaleCondition_Abnorml:BedroomAbvGr 1.078e+04 4.471e+03 2.410 0.016099 *
## SaleCondition_Alloca:BedroomAbvGr 3.357e+03 9.660e+03 0.347 0.728278
## SaleCondition_Family:BedroomAbvGr 9.759e+03 8.444e+03 1.156 0.248003
## SaleCondition_Normal:BedroomAbvGr 7.683e+03 3.554e+03 2.162 0.030816 *
## HouseStyle_1.5Fin:BedroomAbvGr 3.734e+03 5.333e+03 0.700 0.483940
## HouseStyle_1.5Unf:BedroomAbvGr 1.410e+04 9.196e+03 1.533 0.125407
## HouseStyle_1Story:BedroomAbvGr 1.286e+03 4.856e+03 0.265 0.791166
## HouseStyle_2.5Unf:BedroomAbvGr 3.952e+03 8.509e+03 0.464 0.642394
## HouseStyle_2Story:BedroomAbvGr 6.596e+03 5.218e+03 1.264 0.206472
## HouseStyle_SFoyer:BedroomAbvGr 3.051e+03 6.931e+03 0.440 0.659890
## KitchenQual_Ex:BedroomAbvGr 1.245e+03 4.261e+03 0.292 0.770220
## KitchenQual_Fa:BedroomAbvGr -4.033e+03 6.451e+03 -0.625 0.532024
## KitchenQual_Gd:BedroomAbvGr -1.217e+03 2.426e+03 -0.501 0.616190
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 22300 on 1263 degrees of freedom
## Multiple R-squared: 0.9318, Adjusted R-squared: 0.9212
## F-statistic: 88 on 196 and 1263 DF, p-value: < 2.2e-16Model Selection
Stepwise
#Stepwise Selection
stepwise_fit = ols_step_both_p(lm_fit_q2, pent =0.05, prem=0.05)
stepwise_fit##
## Stepwise Selection Summary
## ----------------------------------------------------------------------------------------------------------------------
## Added/ Adj.
## Step Variable Removed R-Square R-Square C(p) AIC RMSE
## ----------------------------------------------------------------------------------------------------------------------
## 1 OverallQual addition 0.626 0.625 5473.2780 35659.4925 48622.7618
## 2 GrLivArea addition 0.714 0.714 3836.7260 35267.5843 42501.3029
## 3 KitchenQual_Ex addition 0.741 0.740 3345.2530 35126.6329 40484.6177
## 4 Neighborhood_Edwards:GrLivArea2 addition 0.771 0.770 2791.6900 34948.9336 38081.3527
## 5 X1stFlrSF addition 0.796 0.795 2330.3780 34782.0599 35953.8101
## 6 GrLivArea2 addition 0.806 0.805 2149.3760 34711.5763 35084.3755
## 7 GrLivArea removal 0.806 0.805 2151.4190 34711.2173 35092.0246
## 8 BedroomAbvGr addition 0.810 0.809 2067.1520 34677.7994 34680.8775
## 9 Neighborhood_Edwards addition 0.817 0.816 1942.0040 34625.9790 34059.2298
## 10 Neighborhood_OldTown addition 0.827 0.826 1760.6540 34546.7000 33135.6663
## 11 YearRemodAdd addition 0.837 0.836 1585.2340 34465.4926 32215.8726
## 12 LotArea addition 0.845 0.844 1428.9560 34389.0355 31372.6138
## 13 BsmtFullBath addition 0.851 0.850 1317.3200 34331.9882 30755.1929
## 14 SaleCondition_Abnorml addition 0.854 0.853 1269.5220 34307.3401 30486.3252
## 15 SaleCondition_Normal addition 0.857 0.856 1210.6470 34276.0899 30151.5651
## 16 HouseStyle_1.5Unf addition 0.859 0.857 1186.6550 34263.6589 30013.2991
## 17 SaleCondition_Alloca addition 0.860 0.858 1165.6850 34252.7859 29891.6201
## 18 SaleCondition_Family addition 0.862 0.860 1130.8810 34233.9199 29689.0608
## 19 Neighborhood_SWISU addition 0.863 0.862 1109.7850 34222.6723 29564.9178
## 20 SaleCondition_AdjLand addition 0.864 0.862 1100.6680 34218.2523 29510.2211
## 21 HouseStyle_2.5Unf addition 0.864 0.863 1091.1180 34213.5522 29452.8070
## 22 Neighborhood_Blmngtn addition 0.865 0.863 1079.1140 34207.3876 29380.7722
## 23 Neighborhood_NWAmes addition 0.866 0.864 1072.2440 34204.1922 29338.7394
## 24 HouseStyle_1Story addition 0.866 0.864 1070.3770 34203.9214 29326.1307
## 25 Neighborhood_NWAmes removal 0.865 0.863 1076.8280 34206.8795 29365.7522
## 26 BsmtHalfBath addition 0.866 0.864 1070.7500 34204.1405 29328.3313
## 27 Neighborhood_Blmngtn removal 0.865 0.863 1084.2920 34211.2443 29409.6814
## 28 Neighborhood_SawyerW addition 0.865 0.863 1082.8220 34211.2170 29399.4933
## 29 BsmtHalfBath removal 0.865 0.863 1087.7700 34213.2736 29430.1271
## 30 KitchenQual_Fa addition 0.865 0.863 1088.5550 34214.5653 29433.2248
## 31 Neighborhood_SawyerW removal 0.865 0.863 1090.0740 34214.6167 29443.6673
## 32 Neighborhood_Veenker addition 0.865 0.863 1085.6090 34212.8456 29415.8959
## 33 HouseStyle_1Story removal 0.865 0.863 1087.9200 34213.3611 29431.0083
## 34 HouseStyle_1.5Fin addition 0.865 0.863 1086.1490 34213.1611 29419.0739
## 35 HouseStyle_2.5Unf removal 0.864 0.862 1096.5490 34218.3841 29481.6797
## 36 Neighborhood_MeadowV addition 0.865 0.863 1090.2340 34215.5446 29443.0972
## 37 SaleCondition_AdjLand removal 0.864 0.862 1098.4530 34219.4900 29492.8474
## 38 Neighborhood_Timber addition 0.864 0.862 1099.7740 34221.0958 29499.1249
## 39 Neighborhood_MeadowV removal 0.864 0.862 1106.1300 34223.9409 29537.8370
## 40 Neighborhood_Somerst addition 0.864 0.862 1107.9940 34225.8619 29547.3135
## 41 Neighborhood_Timber removal 0.864 0.862 1106.7230 34224.2842 29541.3100
## 42 YrSold addition 0.864 0.862 1108.3190 34226.0502 29549.2190
## 43 HouseStyle_1.5Fin removal 0.864 0.862 1109.5070 34225.8946 29557.6068
## 44 Neighborhood_Blueste addition 0.864 0.862 1110.8800 34227.5318 29564.2159
## 45 Neighborhood_Veenker removal 0.863 0.861 1114.7300 34228.9108 29588.1543
## 46 HouseStyle_SFoyer addition 0.863 0.861 1113.6160 34229.1129 29580.2281
## 47 KitchenQual_Fa removal 0.863 0.861 1113.3860 34228.1352 29580.2956
## 48 Neighborhood_NPkVill addition 0.863 0.861 1115.3750 34230.1289 29590.5225
## 49 HouseStyle_SFoyer removal 0.863 0.861 1116.3000 34229.8160 29597.3275
## 50 Neighborhood_Gilbert addition 0.863 0.861 1118.1750 34231.7440 29606.8944
## 51 Neighborhood_Blueste removal 0.863 0.861 1116.8030 34230.1060 29600.2670
## 52 Neighborhood_ClearCr addition 0.863 0.861 1118.4110 34231.8801 29608.2738
## 53 YrSold removal 0.863 0.861 1117.1320 34230.2957 29602.1902
## 54 Neighborhood_Mitchel addition 0.863 0.861 1115.3170 34230.0954 29590.1834
## 55 Neighborhood_Somerst removal 0.863 0.861 1113.3850 34228.1346 29580.2901
## 56 Neighborhood_IDOTRR addition 0.864 0.862 1107.7710 34225.7330 29546.0091
## 57 Neighborhood_SWISU removal 0.862 0.860 1131.0180 34238.2771 29683.2146
## 58 Remodel addition 0.862 0.860 1131.7640 34239.5580 29686.2296
## 59 SaleCondition_Family removal 0.861 0.859 1165.4030 34257.8559 29882.9109
## 60 Neighborhood_CollgCr addition 0.861 0.858 1166.8290 34259.5307 29889.9782
## 61 SaleCondition_Alloca removal 0.859 0.857 1186.8790 34269.9516 30006.9537
## 62 Neighborhood_Crawfor addition 0.860 0.858 1181.6780 34267.9069 29975.8426
## 63 HouseStyle_1.5Unf removal 0.858 0.856 1203.9940 34279.5207 30105.4505
## 64 Neighborhood_Sawyer addition 0.858 0.856 1205.6520 34281.3297 30113.9541
## 65 SaleCondition_Normal removal 0.855 0.853 1262.9980 34312.0360 30442.5592
## 66 Neighborhood_NridgHt addition 0.859 0.857 1189.4390 34272.2659 30020.6238
## 67 SaleCondition_Abnorml removal 0.857 0.855 1229.8600 34293.8637 30253.6923
## 68 Neighborhood_BrDale addition 0.858 0.855 1220.4160 34289.5352 30198.6959
## 69 Neighborhood_Gilbert removal 0.858 0.856 1218.6410 34287.6599 30189.4831
## 70 KitchenQual_Gd addition 0.859 0.857 1197.8660 34276.9843 30069.1731
## 71 Remodel removal 0.859 0.856 1202.4900 34278.6823 30096.8081
## 72 HouseStyle_2Story addition 0.859 0.857 1196.0560 34275.9719 30058.7494
## 73 Neighborhood_Crawfor removal 0.859 0.857 1201.0740 34277.8925 30088.6684
## 74 PoolArea addition 0.859 0.857 1199.0300 34277.6344 30075.8687
## 75 Neighborhood_IDOTRR removal 0.858 0.856 1207.3810 34281.4065 30124.8991
## 76 Neighborhood_StoneBr addition 0.861 0.858 1167.9980 34260.1918 29896.7464
## 77 Neighborhood_CollgCr removal 0.860 0.858 1166.5870 34258.5249 29889.7582
## 78 Neighborhood_NAmes addition 0.861 0.859 1165.6530 34258.8652 29883.1668
## 79 BsmtFullBath removal 0.855 0.853 1271.6910 34316.7658 30491.9101
## 80 FullBath addition 0.855 0.853 1273.2940 34318.5500 30500.2633
## 81 Neighborhood_Mitchel removal 0.855 0.853 1271.6190 34316.7268 30491.5023
## 82 GarageCars addition 0.862 0.860 1142.8510 34245.9026 29750.8022
## 83 Neighborhood_ClearCr removal 0.862 0.860 1140.8910 34243.9255 29740.6889
## 84 HalfBath addition 0.862 0.860 1132.0740 34239.7363 29688.0418
## 85 Neighborhood_NPkVill removal 0.862 0.860 1131.1380 34238.3459 29683.9134
## 86 Fireplaces addition 0.863 0.861 1120.0830 34232.8439 29618.0488
## 87 LotArea removal 0.856 0.854 1249.9660 34304.9161 30368.4214
## 88 X2ndFlrSF addition 0.856 0.854 1244.9830 34303.0871 30339.1763
## 89 YearRemodAdd removal 0.853 0.851 1309.1060 34336.9501 30703.4130
## 90 Neighborhood_NoRidge addition 0.857 0.854 1239.9770 34300.3357 30310.6020
## 91 Neighborhood_OldTown removal 0.852 0.849 1330.1950 34348.2054 30821.9894
## 92 LotArea:SaleCondition_Normal addition 0.859 0.857 1187.2280 34271.0253 30007.8716
## 93 Neighborhood_StoneBr removal 0.856 0.854 1248.4870 34304.1065 30360.0020
## 94 GrLivArea:KitchenQual_Ex addition 0.863 0.861 1127.2330 34236.9573 29659.8013
## 95 Fireplaces removal 0.862 0.860 1140.9540 34243.9620 29741.0605
## 96 KitchenQual_Gd:GrLivArea2 addition 0.868 0.866 1032.5480 34181.5194 29102.0036
## 97 PoolArea removal 0.867 0.866 1037.1830 34183.4735 29131.3049
## 98 Neighborhood_NAmes:GrLivArea2 addition 0.871 0.869 965.4800 34140.9373 28700.3428
## 99 HouseStyle_2Story removal 0.871 0.869 967.1540 34141.1894 28712.4982
## 100 GrLivArea:Neighborhood_Edwards addition 0.874 0.872 912.9130 34108.3211 28381.5454
## 101 HalfBath removal 0.871 0.869 975.1710 34146.0929 28760.7546
## 102 Neighborhood_OldTown:GrLivArea2 addition 0.874 0.872 920.8760 34113.3090 28430.0678
## 103 KitchenQual_Gd removal 0.868 0.866 1027.0650 34177.4390 29071.1641
## 104 Neighborhood_OldTown:LotArea addition 0.872 0.870 955.8860 34135.0382 28642.4192
## 105 X1stFlrSF removal 0.868 0.866 1030.8630 34179.7073 29093.7555
## 106 Neighborhood_NridgHt:LotArea addition 0.870 0.868 989.4970 34155.5992 28844.8156
## 107 Neighborhood_Edwards removal 0.869 0.867 1013.7260 34169.4457 28991.6928
## 108 GrLivArea:Neighborhood_StoneBr addition 0.872 0.870 962.9660 34139.3934 28685.1716
## 109 Neighborhood_BrDale removal 0.871 0.869 973.6040 34145.1356 28751.3279
## 110 GrLivArea:KitchenQual_Gd addition 0.873 0.871 931.2820 34119.8017 28493.3536
## 111 Neighborhood_NridgHt removal 0.869 0.867 1007.4190 34165.6513 28954.0439
## 112 GrLivArea:Neighborhood_NridgHt addition 0.872 0.870 961.0360 34138.2078 28673.5274
## 113 Neighborhood_Sawyer removal 0.872 0.870 962.4420 34138.3002 28684.1024
## 114 Neighborhood_NridgHt:BedroomAbvGr addition 0.875 0.873 898.3490 34099.1544 28292.5879
## 115 BedroomAbvGr removal 0.872 0.870 946.8140 34128.6749 28589.7058
## 116 Neighborhood_SWISU:GrLivArea2 addition 0.874 0.873 910.0430 34106.5196 28364.0411
## 117 Neighborhood_NAmes removal 0.873 0.871 933.9260 34120.6898 28511.6306
## 118 HouseStyle_1Story:BedroomAbvGr addition 0.875 0.873 893.4620 34096.0657 28262.6766
## 119 Neighborhood_Sawyer:GrLivArea2 addition 0.877 0.875 873.9850 34084.4131 28140.6341
## 120 KitchenQual_Gd:BedroomAbvGr addition 0.877 0.875 859.5930 34075.9064 28049.3289
## 121 Neighborhood_Blmngtn:BedroomAbvGr addition 0.879 0.876 840.9490 34064.5650 27931.1991
## 122 LotArea:HouseStyle_2Story addition 0.880 0.877 823.4750 34053.8679 27819.7103
## 123 Neighborhood_ClearCr:GrLivArea2 addition 0.881 0.878 807.3320 34043.9378 27715.9531
## 124 GrLivArea:Neighborhood_ClearCr addition 0.882 0.879 789.8610 34033.0259 27603.3069
## 125 Neighborhood_StoneBr:GrLivArea2 addition 0.883 0.880 773.6820 34022.8660 27498.2052
## 126 GrLivArea:Neighborhood_Somerst addition 0.883 0.881 760.5480 34014.6659 27411.9025
## 127 Neighborhood_Somerst:GrLivArea2 addition 0.885 0.882 739.3820 34000.9116 27273.9503
## 128 Neighborhood_Veenker:BedroomAbvGr addition 0.885 0.883 727.8730 33993.6461 27197.0682
## 129 Neighborhood_Edwards:LotArea addition 0.886 0.883 717.0470 33986.7939 27124.2493
## 130 Neighborhood_MeadowV:GrLivArea2 addition 0.887 0.884 708.0090 33981.1328 27062.6682
## 131 GrLivArea:Neighborhood_Mitchel addition 0.887 0.884 698.9530 33975.4187 27000.7429
## 132 Neighborhood_Crawfor:BedroomAbvGr addition 0.888 0.885 690.2790 33969.9321 26941.0657
## 133 GrLivArea:Neighborhood_NWAmes addition 0.888 0.886 680.2460 33963.4464 26872.3311
## 134 GrLivArea:Neighborhood_CollgCr addition 0.889 0.886 671.6620 33957.9411 26812.7788
## 135 Neighborhood_SawyerW:BedroomAbvGr addition 0.890 0.887 663.1170 33952.4252 26753.2682
## 136 Neighborhood_StoneBr:LotArea addition 0.890 0.887 658.1890 33949.4658 26717.2780
## 137 Neighborhood_CollgCr:BedroomAbvGr addition 0.890 0.887 652.8710 33946.2092 26678.6263
## 138 Neighborhood_CollgCr:LotArea addition 0.891 0.888 645.9760 33941.7944 26629.4735
## 139 Neighborhood_NAmes:BedroomAbvGr addition 0.891 0.888 641.3660 33939.0093 26595.2567
## 140 GrLivArea:HouseStyle_1Story addition 0.892 0.888 635.6670 33935.4154 26553.7348
## 141 SaleCondition_Family:BedroomAbvGr addition 0.892 0.889 631.9160 33933.2228 26525.0101
## ----------------------------------------------------------------------------------------------------------------------stepwise_fit$predictors## [1] "OverallQual" "KitchenQual_Ex"
## [3] "Neighborhood_Edwards:GrLivArea2" "GrLivArea2"
## [5] "FullBath" "GarageCars"
## [7] "X2ndFlrSF" "Neighborhood_NoRidge"
## [9] "LotArea:SaleCondition_Normal" "GrLivArea:KitchenQual_Ex"
## [11] "KitchenQual_Gd:GrLivArea2" "Neighborhood_NAmes:GrLivArea2"
## [13] "GrLivArea:Neighborhood_Edwards" "Neighborhood_OldTown:GrLivArea2"
## [15] "Neighborhood_OldTown:LotArea" "Neighborhood_NridgHt:LotArea"
## [17] "GrLivArea:Neighborhood_StoneBr" "GrLivArea:KitchenQual_Gd"
## [19] "GrLivArea:Neighborhood_NridgHt" "Neighborhood_NridgHt:BedroomAbvGr"
## [21] "Neighborhood_SWISU:GrLivArea2" "HouseStyle_1Story:BedroomAbvGr"
## [23] "Neighborhood_Sawyer:GrLivArea2" "KitchenQual_Gd:BedroomAbvGr"
## [25] "Neighborhood_Blmngtn:BedroomAbvGr" "LotArea:HouseStyle_2Story"
## [27] "Neighborhood_ClearCr:GrLivArea2" "GrLivArea:Neighborhood_ClearCr"
## [29] "Neighborhood_StoneBr:GrLivArea2" "GrLivArea:Neighborhood_Somerst"
## [31] "Neighborhood_Somerst:GrLivArea2" "Neighborhood_Veenker:BedroomAbvGr"
## [33] "Neighborhood_Edwards:LotArea" "Neighborhood_MeadowV:GrLivArea2"
## [35] "GrLivArea:Neighborhood_Mitchel" "Neighborhood_Crawfor:BedroomAbvGr"
## [37] "GrLivArea:Neighborhood_NWAmes" "GrLivArea:Neighborhood_CollgCr"
## [39] "Neighborhood_SawyerW:BedroomAbvGr" "Neighborhood_StoneBr:LotArea"
## [41] "Neighborhood_CollgCr:BedroomAbvGr" "Neighborhood_CollgCr:LotArea"
## [43] "Neighborhood_NAmes:BedroomAbvGr" "GrLivArea:HouseStyle_1Story"
## [45] "SaleCondition_Family:BedroomAbvGr"stepwise_model = stepwise_fit$model
ols_press(stepwise_model)## [1] 1.139737e+12summary(stepwise_model)##
## Call:
## lm(formula = paste(response, "~", paste(preds, collapse = " + ")),
## data = l)
##
## Residuals:
## Min 1Q Median 3Q Max
## -150980 -14350 -145 14067 158971
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 172268.3 988.9 174.209 < 2e-16 ***
## OverallQual 27471.5 1138.2 24.137 < 2e-16 ***
## KitchenQual_Ex 22928.4 4261.4 5.381 8.68e-08 ***
## GrLivArea2 45854.9 2619.6 17.505 < 2e-16 ***
## FullBath 5218.0 1020.7 5.112 3.62e-07 ***
## GarageCars 8917.5 946.0 9.427 < 2e-16 ***
## X2ndFlrSF -10839.9 1106.0 -9.801 < 2e-16 ***
## Neighborhood_NoRidge 13853.9 5402.9 2.564 0.010445 *
## Neighborhood_Edwards:GrLivArea2 -116167.0 6877.4 -16.891 < 2e-16 ***
## LotArea:SaleCondition_Normal 5652.0 799.8 7.066 2.49e-12 ***
## KitchenQual_Ex:GrLivArea 15023.5 3508.2 4.282 1.97e-05 ***
## GrLivArea2:KitchenQual_Gd -28682.6 7536.7 -3.806 0.000147 ***
## GrLivArea2:Neighborhood_NAmes -30611.7 3462.0 -8.842 < 2e-16 ***
## Neighborhood_Edwards:GrLivArea 70912.3 7124.6 9.953 < 2e-16 ***
## GrLivArea2:Neighborhood_OldTown -31235.1 3260.5 -9.580 < 2e-16 ***
## LotArea:Neighborhood_OldTown 44837.8 7626.5 5.879 5.13e-09 ***
## LotArea:Neighborhood_NridgHt 50665.3 10972.5 4.617 4.24e-06 ***
## GrLivArea:Neighborhood_StoneBr 171937.3 35076.1 4.902 1.06e-06 ***
## GrLivArea:KitchenQual_Gd 35795.2 7115.0 5.031 5.51e-07 ***
## GrLivArea:Neighborhood_NridgHt 24278.1 4170.2 5.822 7.19e-09 ***
## Neighborhood_NridgHt:BedroomAbvGr -28109.6 4047.8 -6.944 5.78e-12 ***
## GrLivArea2:Neighborhood_SWISU -29416.4 4646.8 -6.330 3.28e-10 ***
## BedroomAbvGr:HouseStyle_1Story -7067.2 1626.1 -4.346 1.49e-05 ***
## GrLivArea2:Neighborhood_Sawyer -29398.0 5121.8 -5.740 1.16e-08 ***
## KitchenQual_Gd:BedroomAbvGr -5569.6 1875.6 -2.969 0.003034 **
## BedroomAbvGr:Neighborhood_Blmngtn 16416.5 5142.2 3.193 0.001442 **
## LotArea:HouseStyle_2Story 11400.7 2673.6 4.264 2.14e-05 ***
## GrLivArea2:Neighborhood_ClearCr -134067.6 30986.1 -4.327 1.62e-05 ***
## GrLivArea:Neighborhood_ClearCr 103851.0 29295.8 3.545 0.000406 ***
## GrLivArea2:Neighborhood_StoneBr -156436.3 36318.5 -4.307 1.77e-05 ***
## GrLivArea:Neighborhood_Somerst 101044.4 22787.6 4.434 9.96e-06 ***
## GrLivArea2:Neighborhood_Somerst -106854.1 26730.8 -3.997 6.73e-05 ***
## BedroomAbvGr:Neighborhood_Veenker -15671.9 5694.7 -2.752 0.005999 **
## Neighborhood_Edwards:LotArea 26059.7 8364.7 3.115 0.001874 **
## GrLivArea2:Neighborhood_MeadowV -25402.1 7540.4 -3.369 0.000775 ***
## GrLivArea:Neighborhood_Mitchel -17738.9 4888.8 -3.629 0.000295 ***
## BedroomAbvGr:Neighborhood_Crawfor -13902.7 4374.2 -3.178 0.001513 **
## GrLivArea:Neighborhood_NWAmes -13808.7 3893.3 -3.547 0.000403 ***
## GrLivArea:Neighborhood_CollgCr -13327.2 3662.1 -3.639 0.000283 ***
## BedroomAbvGr:Neighborhood_SawyerW -9033.9 3619.5 -2.496 0.012677 *
## LotArea:Neighborhood_StoneBr 19098.2 9444.8 2.022 0.043356 *
## BedroomAbvGr:Neighborhood_CollgCr 15338.4 4400.3 3.486 0.000506 ***
## LotArea:Neighborhood_CollgCr -30347.7 11354.3 -2.673 0.007609 **
## Neighborhood_NAmes:BedroomAbvGr 6187.9 2395.0 2.584 0.009875 **
## GrLivArea:HouseStyle_1Story 4719.2 2057.7 2.293 0.021971 *
## BedroomAbvGr:SaleCondition_Family -10032.1 4975.0 -2.017 0.043935 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 26530 on 1414 degrees of freedom
## Multiple R-squared: 0.892, Adjusted R-squared: 0.8885
## F-statistic: 259.4 on 45 and 1414 DF, p-value: < 2.2e-16confint(stepwise_model)## 2.5 % 97.5 %
## (Intercept) 170328.5301 174208.1193
## OverallQual 25238.8421 29704.2084
## KitchenQual_Ex 14569.0574 31287.6541
## GrLivArea2 40716.3121 50993.5724
## FullBath 3215.8618 7220.1975
## GarageCars 7061.8242 10773.0804
## X2ndFlrSF -13009.5283 -8670.2911
## Neighborhood_NoRidge 3255.3089 24452.4728
## Neighborhood_Edwards:GrLivArea2 -129658.1122 -102675.9548
## LotArea:SaleCondition_Normal 4083.0014 7220.9957
## KitchenQual_Ex:GrLivArea 8141.6221 21905.3296
## GrLivArea2:KitchenQual_Gd -43466.8486 -13898.3248
## GrLivArea2:Neighborhood_NAmes -37402.8328 -23820.4913
## Neighborhood_Edwards:GrLivArea 56936.4026 84888.1500
## GrLivArea2:Neighborhood_OldTown -37631.0785 -24839.1628
## LotArea:Neighborhood_OldTown 29877.4087 59798.1698
## LotArea:Neighborhood_NridgHt 29141.0464 72189.4808
## GrLivArea:Neighborhood_StoneBr 103130.5857 240744.0949
## GrLivArea:KitchenQual_Gd 21838.1212 49752.2866
## GrLivArea:Neighborhood_NridgHt 16097.7335 32458.4737
## Neighborhood_NridgHt:BedroomAbvGr -36049.8658 -20169.2428
## GrLivArea2:Neighborhood_SWISU -38531.7619 -20300.9607
## BedroomAbvGr:HouseStyle_1Story -10257.0983 -3877.3315
## GrLivArea2:Neighborhood_Sawyer -39445.1904 -19350.8801
## KitchenQual_Gd:BedroomAbvGr -9248.8678 -1890.2411
## BedroomAbvGr:Neighborhood_Blmngtn 6329.3398 26503.7207
## LotArea:HouseStyle_2Story 6155.9153 16645.3928
## GrLivArea2:Neighborhood_ClearCr -194851.3085 -73283.9776
## GrLivArea:Neighborhood_ClearCr 46383.1408 161318.8531
## GrLivArea2:Neighborhood_StoneBr -227680.1484 -85192.4124
## GrLivArea:Neighborhood_Somerst 56343.2207 145745.5702
## GrLivArea2:Neighborhood_Somerst -159290.5022 -54417.7838
## BedroomAbvGr:Neighborhood_Veenker -26842.9259 -4500.8692
## Neighborhood_Edwards:LotArea 9651.1638 42468.2250
## GrLivArea2:Neighborhood_MeadowV -40193.6144 -10610.6314
## GrLivArea:Neighborhood_Mitchel -27328.9269 -8148.8857
## BedroomAbvGr:Neighborhood_Crawfor -22483.2279 -5322.1744
## GrLivArea:Neighborhood_NWAmes -21445.8634 -6171.5268
## GrLivArea:Neighborhood_CollgCr -20511.0177 -6143.4566
## BedroomAbvGr:Neighborhood_SawyerW -16133.9532 -1933.7631
## LotArea:Neighborhood_StoneBr 570.8653 37625.5475
## BedroomAbvGr:Neighborhood_CollgCr 6706.6155 23970.2298
## LotArea:Neighborhood_CollgCr -52620.8471 -8074.5244
## Neighborhood_NAmes:BedroomAbvGr 1489.7384 10885.9918
## GrLivArea:HouseStyle_1Story 682.6686 8755.8093
## BedroomAbvGr:SaleCondition_Family -19791.2882 -272.9981ols_plot_cooksd_bar(stepwise_model)
stepwise_model_outliers = ols_plot_cooksd_bar(stepwise_model, print_plot=F)
stepwise_model_outliers## $plot
##
## $outliers
## observation cooks_distance
## 54 54 0.003424118
## 57 57 0.003417283
## 59 59 0.034567670
## 66 66 0.003084555
## 113 113 0.010637004
## 121 121 0.003376605
## 138 138 0.012000231
## 140 140 0.004874205
## 152 152 0.005109488
## 162 162 0.004442632
## 179 179 0.028274100
## 182 182 0.004318679
## 186 186 0.004878066
## 194 194 0.004871377
## 198 198 0.011834835
## 219 219 0.002967086
## 225 225 0.006470847
## 250 250 0.004535112
## 252 252 0.004005638
## 262 262 0.010262073
## 309 309 0.003118864
## 314 314 0.006627558
## 321 321 0.004223226
## 322 322 0.006157009
## 327 327 0.006239055
## 331 331 0.005091024
## 336 336 0.012277001
## 337 337 0.003409599
## 350 350 0.008292633
## 378 378 0.011620101
## 379 379 0.003365383
## 384 384 0.003623813
## 385 385 0.018198903
## 401 401 0.004665185
## 441 441 0.007665139
## 455 455 0.004736671
## 458 458 0.005446310
## 463 463 0.002833939
## 474 474 0.015832401
## 478 478 0.015231061
## 524 524 0.058898132
## 530 530 0.009693533
## 564 564 0.008013535
## 567 567 0.036382417
## 569 569 0.003194339
## 582 582 0.005228881
## 586 586 0.003448814
## 589 589 0.004583939
## 608 608 0.003950282
## 640 640 0.006416087
## 641 641 0.015428895
## 643 643 0.004177815
## 662 662 0.003061214
## 665 665 0.017927463
## 667 667 0.006604353
## 679 679 0.003667772
## 686 686 0.018768542
## 689 689 0.013728323
## 692 692 0.007509322
## 703 703 0.006353158
## 717 717 0.003383937
## 729 729 0.003230014
## 770 770 0.910876290
## 775 775 0.005274250
## 799 799 0.008670202
## 804 804 0.046980885
## 826 826 0.009564353
## 848 848 0.002843342
## 876 876 0.010420387
## 878 878 0.003924355
## 899 899 0.059661034
## 927 927 0.005289654
## 962 962 0.003972979
## 964 964 0.003325451
## 992 992 0.012418308
## 1025 1025 0.044414015
## 1032 1032 0.026787007
## 1047 1047 0.138234692
## 1063 1063 0.007886114
## 1066 1066 0.025249841
## 1069 1069 0.014871703
## 1089 1089 0.003367255
## 1098 1098 0.006801326
## 1143 1143 0.042959293
## 1152 1152 0.003033520
## 1170 1170 0.101097838
## 1174 1174 0.069988232
## 1176 1176 0.006374889
## 1182 1182 0.021885119
## 1299 1299 0.106091051
## 1305 1305 0.004536679
## 1311 1311 0.003148832
## 1325 1325 0.026341134
## 1327 1327 0.014626298
## 1328 1328 0.003332240
## 1329 1329 0.013142841
## 1350 1350 0.004084784
## 1360 1360 0.007243901
## 1377 1377 0.003271833
## 1389 1389 0.004082432
## 1416 1416 0.008016896
## 1424 1424 0.010158142
## 1441 1441 0.003939772
## 1458 1458 0.005235545
##
## $threshold
## [1] 0.002739726ols_plot_dffits(stepwise_model)
ols_plot_diagnostics(stepwise_model)
ols_plot_resid_fit(stepwise_model)
ols_plot_resid_pot(stepwise_model)
ols_pred_rsq(stepwise_model)## [1] 0.876222plot(stepwise_fit)
stepwise_predictions = c(predict(stepwise_model, newdata = one_encode_test_data_q2))
one_encode_test_data_q2[1117,]## Id GrLivArea Neighborhood_Blmngtn Neighborhood_Blueste Neighborhood_BrDale
## 1: 2577 0.594763 0 0 0
## Neighborhood_BrkSide Neighborhood_ClearCr Neighborhood_CollgCr
## 1: 0 0 0
## Neighborhood_Crawfor Neighborhood_Edwards Neighborhood_Gilbert
## 1: 0 0 0
## Neighborhood_IDOTRR Neighborhood_MeadowV Neighborhood_Mitchel
## 1: 1 0 0
## Neighborhood_NAmes Neighborhood_NoRidge Neighborhood_NPkVill
## 1: 0 0 0
## Neighborhood_NridgHt Neighborhood_NWAmes Neighborhood_OldTown
## 1: 0 0 0
## Neighborhood_Sawyer Neighborhood_SawyerW Neighborhood_Somerst
## 1: 0 0 0
## Neighborhood_StoneBr Neighborhood_SWISU Neighborhood_Timber
## 1: 0 0 0
## Neighborhood_Veenker LotArea YrSold SaleCondition_Abnorml
## 1: 0 -0.1459563 -0.6142282 0
## SaleCondition_AdjLand SaleCondition_Alloca SaleCondition_Family
## 1: 0 1 0
## SaleCondition_Normal SaleCondition_Partial HouseStyle_1.5Fin
## 1: 0 0 0
## HouseStyle_1.5Unf HouseStyle_1Story HouseStyle_2.5Unf HouseStyle_2Story
## 1: 0 0 0 1
## HouseStyle_SFoyer HouseStyle_SLvl KitchenQual_Ex KitchenQual_Fa
## 1: 0 0 0 0
## KitchenQual_Gd KitchenQual_TA YearRemodAdd GarageCars PoolArea Fireplaces
## 1: 1 0 0.6846194 0.3116179 -0.06866822 -0.9509007
## BsmtFullBath BsmtHalfBath FullBath HalfBath BedroomAbvGr Remodel
## 1: -0.8196835 -0.2409785 0.78947 -0.7613598 0.163723 1.047353
## OverallQual GrLivArea2 X1stFlrSF X2ndFlrSF
## 1: -0.7948791 0.3725528 -0.5707028 1.234759stepwise_submission = data.frame(Id= one_encode_test_data_q2$Id, SalePrice=stepwise_predictions)
#write_csv(stepwise_submission, "../kaggleData/stepwiseSelectionPredictions.csv")
nrow(stepwise_submission)## [1] 1459sum(is.na(stepwise_submission))## [1] 0stepwise_submission_na <- stepwise_submission %>% filter_all(any_vars(is.na(.)))
#stepwise_submission_nastep_wise_vif = VIF(stepwise_model)
step_wise_vif## OverallQual KitchenQual_Ex
## 2.686324 2.404222
## GrLivArea2 FullBath
## 14.229804 2.160256
## GarageCars X2ndFlrSF
## 1.855607 2.536711
## Neighborhood_NoRidge Neighborhood_Edwards:GrLivArea2
## 1.653323 22.013318
## LotArea:SaleCondition_Normal KitchenQual_Ex:GrLivArea
## 1.246355 5.688962
## GrLivArea2:KitchenQual_Gd GrLivArea2:Neighborhood_NAmes
## 36.229746 2.011046
## Neighborhood_Edwards:GrLivArea GrLivArea2:Neighborhood_OldTown
## 11.853224 1.836562
## LotArea:Neighborhood_OldTown LotArea:Neighborhood_NridgHt
## 1.434400 1.744916
## GrLivArea:Neighborhood_StoneBr GrLivArea:KitchenQual_Gd
## 70.081526 35.755873
## GrLivArea:Neighborhood_NridgHt Neighborhood_NridgHt:BedroomAbvGr
## 2.288855 1.613838
## GrLivArea2:Neighborhood_SWISU BedroomAbvGr:HouseStyle_1Story
## 1.330747 2.313584
## GrLivArea2:Neighborhood_Sawyer KitchenQual_Gd:BedroomAbvGr
## 1.241526 2.539048
## BedroomAbvGr:Neighborhood_Blmngtn LotArea:HouseStyle_2Story
## 1.171572 1.875462
## GrLivArea2:Neighborhood_ClearCr GrLivArea:Neighborhood_ClearCr
## 34.687088 35.058026
## GrLivArea2:Neighborhood_StoneBr GrLivArea:Neighborhood_Somerst
## 81.702668 21.188865
## GrLivArea2:Neighborhood_Somerst BedroomAbvGr:Neighborhood_Veenker
## 21.060162 1.160355
## Neighborhood_Edwards:LotArea GrLivArea2:Neighborhood_MeadowV
## 4.887814 1.093741
## GrLivArea:Neighborhood_Mitchel BedroomAbvGr:Neighborhood_Crawfor
## 1.127053 1.128623
## GrLivArea:Neighborhood_NWAmes GrLivArea:Neighborhood_CollgCr
## 1.217707 1.921416
## BedroomAbvGr:Neighborhood_SawyerW LotArea:Neighborhood_StoneBr
## 1.118426 2.989637
## BedroomAbvGr:Neighborhood_CollgCr LotArea:Neighborhood_CollgCr
## 2.333567 1.706190
## Neighborhood_NAmes:BedroomAbvGr GrLivArea:HouseStyle_1Story
## 1.725506 2.628738
## BedroomAbvGr:SaleCondition_Family
## 1.052341#Forward Selection
fw_fit = ols_step_forward_p(lm_fit_q2, penter=0.05, details = F)
fw_fit##
## Selection Summary
## ----------------------------------------------------------------------------------------------------------
## Variable Adj.
## Step Entered R-Square R-Square C(p) AIC RMSE
## ----------------------------------------------------------------------------------------------------------
## 1 OverallQual 0.6257 0.6254 5473.2779 35659.4925 48622.7618
## 2 GrLivArea 0.7142 0.7138 3836.7257 35267.5843 42501.3029
## 3 KitchenQual_Ex 0.7408 0.7403 3345.2535 35126.6329 40484.6177
## 4 Neighborhood_Edwards:GrLivArea2 0.7708 0.7702 2791.6901 34948.9336 38081.3527
## 5 X1stFlrSF 0.7959 0.7952 2330.3784 34782.0599 35953.8101
## 6 GrLivArea2 0.8058 0.8050 2149.3761 34711.5763 35084.3755
## 7 Neighborhood_Edwards 0.8130 0.8121 2017.7555 34658.2821 34438.1082
## 8 YearRemodAdd 0.8254 0.8245 1789.4410 34559.7645 33284.2523
## 9 LotArea 0.8351 0.8340 1613.1585 34478.9072 32364.2143
## 10 X2ndFlrSF 0.8397 0.8386 1529.3023 34439.2630 31916.9289
## 11 HalfBath 0.8423 0.8411 1482.2058 34416.9041 31662.7094
## 12 SaleCondition_Abnorml 0.8447 0.8434 1440.0614 34396.6495 31433.1676
## 13 SaleCondition_Normal 0.8469 0.8456 1401.3480 34377.8196 31220.5256
## 14 BsmtFullBath 0.8552 0.8538 1250.7941 34299.0144 30378.9110
## 15 GarageCars 0.8621 0.8607 1123.6610 34228.9364 29648.4702
## 16 SaleCondition_Alloca 0.8636 0.8621 1098.0922 34215.0763 29498.0859
## 17 SaleCondition_Family 0.8659 0.8643 1057.7211 34192.3597 29259.5912
## 18 KitchenQual_Gd 0.8672 0.8655 1036.2698 34180.4977 29131.1198
## 19 HouseStyle_1.5Unf 0.8676 0.8659 1029.8841 34177.5088 29091.4870
## 20 Neighborhood_OldTown 0.8710 0.8692 970.2508 34142.3087 28733.1979
## 21 SaleCondition_AdjLand 0.8714 0.8695 964.7988 34139.7460 28698.3086
## 22 Fireplaces 0.8724 0.8705 947.4789 34129.8499 28591.5727
## 23 PoolArea 0.8726 0.8706 945.3915 34129.3207 28576.7632
## 24 Neighborhood_Crawfor 0.8736 0.8715 928.7841 34119.7509 28473.6741
## 25 Neighborhood_NWAmes 0.8743 0.8721 918.7325 34114.2081 28410.1187
## 26 FullBath 0.8746 0.8723 915.6141 34112.9928 28388.7528
## 27 BedroomAbvGr 0.8753 0.8730 903.3285 34105.9813 28311.1561
## 28 Neighborhood_Blmngtn 0.8764 0.8740 886.2433 34095.8546 28203.6737
## 29 Neighborhood_MeadowV 0.8766 0.8741 883.5692 34094.8692 28184.7030
## 30 Neighborhood_Veenker 0.8769 0.8743 881.1155 34094.0190 28167.0556
## 31 Neighborhood_NridgHt 0.8792 0.8766 839.1673 34067.5909 27903.9262
## 32 HouseStyle_2.5Unf 0.8796 0.8769 834.0454 34064.9314 27869.1954
## 33 Neighborhood_SawyerW 0.8799 0.8771 831.7534 34064.1162 27852.1002
## 34 Neighborhood_Mitchel 0.8800 0.8772 830.4278 34063.9312 27841.0298
## 35 Neighborhood_NAmes 0.8803 0.8774 827.5595 34062.7266 27820.2550
## 36 Neighborhood_Timber 0.8804 0.8774 827.9810 34063.6860 27820.1129
## 37 Neighborhood_Sawyer 0.8805 0.8774 827.4939 34064.0450 27814.2575
## 38 KitchenQual_Fa 0.8806 0.8774 828.4022 34065.3241 27817.1744
## 39 Neighborhood_CollgCr 0.8808 0.8775 827.1447 34065.1709 27806.4551
## 40 Neighborhood_BrDale 0.8813 0.8779 819.7719 34060.9577 27757.1264
## 41 Remodel 0.8813 0.8779 821.3219 34062.6587 27764.0692
## 42 HouseStyle_SFoyer 0.8813 0.8778 822.9353 34064.4018 27771.4213
## 43 Neighborhood_ClearCr 0.8813 0.8777 824.8142 34066.3213 27780.4600
## 44 YrSold 0.8813 0.8776 826.6516 34068.2132 27789.2459
## 45 Neighborhood_NPkVill 0.8815 0.8777 825.3020 34067.9853 27777.8680
## 46 Neighborhood_Blueste 0.8816 0.8778 825.2942 34068.6481 27774.9738
## 47 Neighborhood_Somerst 0.8817 0.8777 826.2847 34069.9754 27778.4067
## 48 Neighborhood_StoneBr 0.8832 0.8792 800.2803 34053.1879 27610.0304
## 49 BsmtHalfBath 0.8837 0.8797 791.9990 34048.2292 27554.0775
## 50 Neighborhood_SWISU 0.8841 0.8800 786.9608 34045.4464 27518.7424
## 51 Neighborhood_IDOTRR 0.8845 0.8803 782.3923 34042.9686 27486.3300
## 52 HouseStyle_1.5Fin 0.8845 0.8802 784.3815 34044.9612 27496.0268
## 53 Neighborhood_Gilbert 0.8857 0.8813 764.5766 34031.9973 27365.2066
## 54 HouseStyle_1Story 0.8857 0.8813 766.3270 34033.8251 27373.3294
## 55 HouseStyle_2Story 0.8857 0.8812 768.1412 34035.6969 27381.8738
## 56 Neighborhood_NoRidge 0.8876 0.8831 734.6049 34012.9710 27160.6628
## 57 GrLivArea:Neighborhood_Edwards 0.8941 0.8898 616.1001 33927.8628 26371.7844
## 58 Neighborhood_NAmes:GrLivArea2 0.8983 0.8941 540.5172 33870.8997 25853.8248
## 59 Neighborhood_NridgHt:LotArea 0.9017 0.8976 478.8956 33822.7044 25422.2664
## 60 KitchenQual_Ex:GrLivArea2 0.9046 0.9005 427.9449 33781.5707 25058.4445
## 61 GrLivArea:KitchenQual_Gd 0.9087 0.9047 354.0428 33719.4300 24522.7779
## 62 LotArea:HouseStyle_2Story 0.9101 0.9061 330.2684 33698.9924 24343.7723
## 63 Neighborhood_NridgHt:BedroomAbvGr 0.9115 0.9075 306.5340 33678.2402 24163.4763
## 64 GrLivArea:Neighborhood_OldTown 0.9125 0.9085 289.2660 33662.9698 24029.5914
## 65 Neighborhood_ClearCr:GrLivArea2 0.9134 0.9093 275.4025 33650.5961 23920.1713
## 66 GrLivArea:Neighborhood_NridgHt 0.9141 0.9101 263.2695 33639.6701 23823.0640
## 67 GrLivArea:HouseStyle_1Story 0.9149 0.9108 251.5190 33628.9831 23728.2989
## 68 GrLivArea:Neighborhood_Sawyer 0.9156 0.9115 240.2162 33618.6033 23636.4037
## 69 GrLivArea:SaleCondition_Abnorml 0.9163 0.9122 228.8379 33608.0465 23543.4436
## 70 Neighborhood_Edwards:LotArea 0.9169 0.9127 219.7528 33599.5596 23467.4842
## 71 GrLivArea:Neighborhood_ClearCr 0.9174 0.9132 212.2749 33592.5332 23403.4782
## 72 Neighborhood_Somerst:LotArea 0.9180 0.9137 204.2050 33584.8813 23334.6548
## 73 GrLivArea:Neighborhood_StoneBr 0.9186 0.9143 195.4693 33576.5205 23260.3917
## 74 Neighborhood_NAmes:BedroomAbvGr 0.9191 0.9148 187.6069 33568.9373 23192.5462
## 75 Neighborhood_Crawfor:LotArea 0.9195 0.9151 182.9270 33564.4106 23149.1232
## 76 Neighborhood_SWISU:LotArea 0.9198 0.9154 178.5484 33560.1508 23107.9003
## 77 Neighborhood_NWAmes:GrLivArea2 0.9201 0.9157 174.2933 33555.9862 23067.5077
## 78 Neighborhood_StoneBr:GrLivArea2 0.9205 0.9160 170.3642 33552.1187 23029.5354
## 79 Neighborhood_Veenker:BedroomAbvGr 0.9208 0.9162 166.6129 33548.4045 22992.8392
## 80 SaleCondition_Family:GrLivArea2 0.9211 0.9165 162.8042 33544.6105 22955.5796
## 81 GrLivArea:SaleCondition_Normal 0.9216 0.9170 154.6565 33536.4331 22884.0079
## 82 LotArea:SaleCondition_Normal 0.9223 0.9176 145.1691 33526.8256 22801.4960
## 83 Neighborhood_StoneBr:LotArea 0.9226 0.9179 140.7790 33522.3286 22759.0845
## 84 Neighborhood_SawyerW:BedroomAbvGr 0.9229 0.9182 137.3631 33518.7994 22724.2880
## 85 Neighborhood_SawyerW:LotArea 0.9231 0.9184 134.9709 33516.2998 22697.5534
## 86 Neighborhood_NridgHt:GrLivArea2 0.9234 0.9186 132.5655 33513.7727 22670.6419
## ----------------------------------------------------------------------------------------------------------fw_model = fw_fit$model
ols_press(fw_model)## [1] 1.041275e+12summary(fw_model)##
## Call:
## lm(formula = paste(response, "~", paste(preds, collapse = " + ")),
## data = l)
##
## Residuals:
## Min 1Q Median 3Q Max
## -141057 -11405 -287 11434 136612
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 186591.14 5667.99 32.920 < 2e-16 ***
## OverallQual 17977.77 1153.01 15.592 < 2e-16 ***
## GrLivArea -4371.79 9508.14 -0.460 0.645737
## KitchenQual_Ex 20637.87 3811.19 5.415 7.22e-08 ***
## X1stFlrSF 10549.97 5905.88 1.786 0.074263 .
## GrLivArea2 36229.98 5328.05 6.800 1.56e-11 ***
## Neighborhood_Edwards -20343.77 4319.11 -4.710 2.73e-06 ***
## YearRemodAdd 5154.81 961.77 5.360 9.77e-08 ***
## LotArea -11225.47 4269.94 -2.629 0.008660 **
## X2ndFlrSF 6486.37 6635.38 0.978 0.328473
## HalfBath 3722.87 948.65 3.924 9.13e-05 ***
## SaleCondition_Abnorml -23992.78 3603.68 -6.658 4.01e-11 ***
## SaleCondition_Normal -9896.37 2719.59 -3.639 0.000284 ***
## BsmtFullBath 7209.98 698.80 10.318 < 2e-16 ***
## GarageCars 5374.15 875.85 6.136 1.11e-09 ***
## SaleCondition_Alloca -23737.09 7946.10 -2.987 0.002865 **
## SaleCondition_Family -24211.68 5879.22 -4.118 4.05e-05 ***
## KitchenQual_Gd 6017.40 1873.06 3.213 0.001346 **
## HouseStyle_1.5Unf -14790.16 6538.27 -2.262 0.023848 *
## Neighborhood_OldTown -18854.37 3905.72 -4.827 1.54e-06 ***
## SaleCondition_AdjLand -10580.85 12413.09 -0.852 0.394144
## Fireplaces 3429.91 785.98 4.364 1.37e-05 ***
## PoolArea 1807.62 700.72 2.580 0.009993 **
## Neighborhood_Crawfor 15881.79 4791.90 3.314 0.000943 ***
## Neighborhood_NWAmes -7227.91 4904.53 -1.474 0.140786
## FullBath 4394.11 1071.94 4.099 4.39e-05 ***
## BedroomAbvGr -2805.50 991.46 -2.830 0.004727 **
## Neighborhood_Blmngtn -15564.73 7037.50 -2.212 0.027153 *
## Neighborhood_MeadowV -16406.85 6964.47 -2.356 0.018623 *
## Neighborhood_Veenker 11389.61 9138.70 1.246 0.212865
## Neighborhood_NridgHt 470.84 8475.31 0.056 0.955705
## HouseStyle_2.5Unf -12582.94 8437.83 -1.491 0.136125
## Neighborhood_SawyerW -3548.80 4902.61 -0.724 0.469274
## Neighborhood_Mitchel -5291.28 4866.02 -1.087 0.277054
## Neighborhood_NAmes -12904.08 4010.74 -3.217 0.001324 **
## Neighborhood_Timber 5442.90 5595.67 0.973 0.330875
## Neighborhood_Sawyer -11903.26 5120.06 -2.325 0.020226 *
## KitchenQual_Fa -3599.68 4049.55 -0.889 0.374208
## Neighborhood_CollgCr 3047.51 4327.02 0.704 0.481367
## Neighborhood_BrDale -16100.29 7420.49 -2.170 0.030200 *
## Remodel 610.47 753.24 0.810 0.417822
## HouseStyle_SFoyer -5751.20 5201.78 -1.106 0.269084
## Neighborhood_ClearCr -30.65 7005.69 -0.004 0.996510
## YrSold 178.16 621.83 0.287 0.774526
## Neighborhood_NPkVill -8657.43 8718.03 -0.993 0.320861
## Neighborhood_Blueste -12640.90 16742.66 -0.755 0.450372
## Neighborhood_Somerst 18648.95 5299.38 3.519 0.000447 ***
## Neighborhood_StoneBr 16687.76 8091.49 2.062 0.039359 *
## BsmtHalfBath 2599.63 637.04 4.081 4.75e-05 ***
## Neighborhood_SWISU -24191.16 7905.35 -3.060 0.002256 **
## Neighborhood_IDOTRR -9957.85 4850.09 -2.053 0.040249 *
## HouseStyle_1.5Fin -5288.86 4161.62 -1.271 0.203992
## Neighborhood_Gilbert -1750.65 4881.52 -0.359 0.719929
## HouseStyle_1Story 6315.81 3515.37 1.797 0.072615 .
## HouseStyle_2Story -4901.12 4441.88 -1.103 0.270052
## Neighborhood_NoRidge 21831.88 6035.21 3.617 0.000308 ***
## Neighborhood_Edwards:GrLivArea2 -128894.26 7466.60 -17.263 < 2e-16 ***
## GrLivArea:Neighborhood_Edwards 81483.40 7627.21 10.683 < 2e-16 ***
## GrLivArea2:Neighborhood_NAmes -25817.50 3335.66 -7.740 1.92e-14 ***
## LotArea:Neighborhood_NridgHt 49874.20 10424.32 4.784 1.90e-06 ***
## KitchenQual_Ex:GrLivArea2 22121.24 2654.50 8.333 < 2e-16 ***
## GrLivArea:KitchenQual_Gd 11293.38 1768.37 6.386 2.32e-10 ***
## LotArea:HouseStyle_2Story 10668.91 2579.37 4.136 3.74e-05 ***
## BedroomAbvGr:Neighborhood_NridgHt -24571.00 4024.93 -6.105 1.34e-09 ***
## GrLivArea:Neighborhood_OldTown -9823.07 2414.57 -4.068 5.01e-05 ***
## GrLivArea2:Neighborhood_ClearCr -116966.41 31172.40 -3.752 0.000183 ***
## GrLivArea:Neighborhood_NridgHt 79458.36 31081.30 2.556 0.010681 *
## GrLivArea:HouseStyle_1Story 10357.40 2666.85 3.884 0.000108 ***
## GrLivArea:Neighborhood_Sawyer -14464.16 4388.38 -3.296 0.001006 **
## GrLivArea:SaleCondition_Abnorml -18657.87 3392.82 -5.499 4.54e-08 ***
## Neighborhood_Edwards:LotArea 25392.63 7486.08 3.392 0.000714 ***
## GrLivArea:Neighborhood_ClearCr 97360.99 30732.97 3.168 0.001569 **
## LotArea:Neighborhood_Somerst 27223.74 7361.78 3.698 0.000226 ***
## GrLivArea:Neighborhood_StoneBr 127264.76 34558.29 3.683 0.000240 ***
## BedroomAbvGr:Neighborhood_NAmes 6244.38 2192.65 2.848 0.004467 **
## LotArea:Neighborhood_Crawfor -14460.82 6599.07 -2.191 0.028595 *
## LotArea:Neighborhood_SWISU -47501.11 19670.33 -2.415 0.015871 *
## GrLivArea2:Neighborhood_NWAmes -8161.62 3744.93 -2.179 0.029473 *
## GrLivArea2:Neighborhood_StoneBr -120493.92 33852.61 -3.559 0.000384 ***
## BedroomAbvGr:Neighborhood_Veenker -14205.71 5631.45 -2.523 0.011762 *
## GrLivArea2:SaleCondition_Family -35770.42 8932.57 -4.004 6.55e-05 ***
## GrLivArea:SaleCondition_Normal -14189.79 2867.53 -4.948 8.41e-07 ***
## LotArea:SaleCondition_Normal 15625.22 4228.52 3.695 0.000228 ***
## LotArea:Neighborhood_StoneBr 21397.25 8396.53 2.548 0.010932 *
## BedroomAbvGr:Neighborhood_SawyerW -8101.24 3211.63 -2.522 0.011766 *
## LotArea:Neighborhood_SawyerW 28939.52 13858.16 2.088 0.036958 *
## GrLivArea2:Neighborhood_NridgHt -59334.50 28734.21 -2.065 0.039116 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 22670 on 1373 degrees of freedom
## Multiple R-squared: 0.9234, Adjusted R-squared: 0.9186
## F-statistic: 192.4 on 86 and 1373 DF, p-value: < 2.2e-16#confint(fw_model)ols_plot_cooksd_bar(fw_model)
fw_model_outliers = ols_plot_cooksd_bar(fw_model, print_plot=F)
fw_model_outliers## $plot
##
## $outliers
## observation cooks_distance
## 4 4 0.005533118
## 54 54 0.010746806
## 59 59 0.005238746
## 66 66 0.004100509
## 67 67 0.002761712
## 94 94 0.004112057
## 119 119 0.003868737
## 121 121 0.003813257
## 138 138 0.003791780
## 152 152 0.003017754
## 154 154 0.008710362
## 179 179 0.023094033
## 186 186 0.016931834
## 198 198 0.003670850
## 209 209 0.005079675
## 219 219 0.008497165
## 239 239 0.002934549
## 250 250 0.004648572
## 252 252 0.005563674
## 262 262 0.021083067
## 305 305 0.007005313
## 314 314 0.011739197
## 321 321 0.005021460
## 322 322 0.004563020
## 331 331 0.007019326
## 336 336 0.013866443
## 337 337 0.003952685
## 349 349 0.006958734
## 350 350 0.014583288
## 363 363 0.004390628
## 384 384 0.005134576
## 385 385 0.034711374
## 401 401 0.007905583
## 427 427 0.003451913
## 439 439 0.003413496
## 441 441 0.019612428
## 474 474 0.008830652
## 478 478 0.005869326
## 497 497 0.003043277
## 524 524 0.027070590
## 528 528 0.003629215
## 530 530 0.090047375
## 560 560 0.003068195
## 567 567 0.013019190
## 569 569 0.005044630
## 582 582 0.013907228
## 584 584 0.005071135
## 586 586 0.003004760
## 589 589 0.032720644
## 592 592 0.004517492
## 598 598 0.004076096
## 608 608 0.006600237
## 622 622 0.002808332
## 633 633 0.014846022
## 636 636 0.007576615
## 641 641 0.006744594
## 643 643 0.006211303
## 662 662 0.004329263
## 665 665 0.012379338
## 682 682 0.005322280
## 686 686 0.013466435
## 689 689 0.046788721
## 692 692 0.015037115
## 703 703 0.008910781
## 708 708 0.002836577
## 725 725 0.003145896
## 745 745 0.004953820
## 770 770 2.640476866
## 775 775 0.005432577
## 779 779 0.003153920
## 799 799 0.025431115
## 804 804 0.069862122
## 811 811 0.010015936
## 813 813 0.003911426
## 823 823 0.003606640
## 826 826 0.008774138
## 841 841 0.011904950
## 849 849 0.002830065
## 876 876 0.013493753
## 878 878 0.006064137
## 886 886 0.006904558
## 898 898 0.005163716
## 899 899 0.048427724
## 926 926 0.004778653
## 940 940 0.005305586
## 962 962 0.006750628
## 971 971 0.003034035
## 1025 1025 0.024891894
## 1032 1032 0.041838065
## 1045 1045 0.003234651
## 1047 1047 0.105686305
## 1049 1049 0.004466601
## 1063 1063 0.003789691
## 1066 1066 0.016466571
## 1069 1069 0.007417611
## 1098 1098 0.006767925
## 1128 1128 0.005261062
## 1143 1143 0.006505510
## 1156 1156 0.003001716
## 1169 1169 0.006712115
## 1170 1170 0.062496248
## 1174 1174 0.889937281
## 1176 1176 0.005834351
## 1182 1182 0.021811805
## 1183 1183 0.004273060
## 1217 1217 0.002792937
## 1268 1268 0.005726221
## 1269 1269 0.004787238
## 1285 1285 0.004703839
## 1299 1299 0.058336041
## 1311 1311 0.004598502
## 1323 1323 0.003271351
## 1325 1325 0.013822419
## 1327 1327 0.003884424
## 1329 1329 0.013648957
## 1360 1360 0.007955172
## 1387 1387 0.042004098
## 1389 1389 0.007982085
## 1397 1397 0.003183311
## 1416 1416 0.002891932
## 1424 1424 0.115566224
## 1441 1441 0.003717308
##
## $threshold
## [1] 0.002739726ols_plot_dffits(fw_model)
ols_plot_diagnostics(fw_model)
ols_plot_resid_fit(fw_model)
ols_plot_resid_pot(fw_model)
ols_pred_rsq(fw_model)## [1] 0.8869152plot(fw_fit)
fw_predictions = c(predict(fw_model, newdata = one_encode_test_data_q2))
fw_submission = data.frame(Id= one_encode_test_data_q2$Id, SalePrice=fw_predictions)
fw_submission## Id SalePrice
## 1 1461 111934.73
## 2 1462 148895.38
## 3 1463 165887.63
## 4 1464 178837.89
## 5 1465 190807.69
## 6 1466 171021.37
## 7 1467 171346.10
## 8 1468 162192.44
## 9 1469 198932.63
## 10 1470 120559.16
## 11 1471 191561.45
## 12 1472 99310.75
## 13 1473 85077.40
## 14 1474 145583.23
## 15 1475 123529.72
## 16 1476 400715.02
## 17 1477 248185.41
## 18 1478 286493.07
## 19 1479 309104.25
## 20 1480 489673.07
## 21 1481 339637.91
## 22 1482 213011.66
## 23 1483 169905.31
## 24 1484 152344.55
## 25 1485 199650.29
## 26 1486 197926.12
## 27 1487 315616.74
## 28 1488 248235.28
## 29 1489 197228.96
## 30 1490 221032.07
## 31 1491 193915.83
## 32 1492 115224.51
## 33 1493 170909.19
## 34 1494 306090.50
## 35 1495 296074.07
## 36 1496 219195.85
## 37 1497 186388.48
## 38 1498 157377.08
## 39 1499 169899.91
## 40 1500 157255.14
## 41 1501 173389.09
## 42 1502 147891.17
## 43 1503 265397.35
## 44 1504 242791.01
## 45 1505 224155.42
## 46 1506 190738.84
## 47 1507 238772.34
## 48 1508 188254.38
## 49 1509 149816.94
## 50 1510 152526.39
## 51 1511 144703.83
## 52 1512 166375.79
## 53 1513 129831.46
## 54 1514 169831.75
## 55 1515 160502.37
## 56 1516 147433.01
## 57 1517 155337.09
## 58 1518 150501.06
## 59 1519 201981.35
## 60 1520 133395.54
## 61 1521 122162.40
## 62 1522 183609.05
## 63 1523 96226.84
## 64 1524 120302.85
## 65 1525 115935.25
## 66 1526 113477.28
## 67 1527 126718.83
## 68 1528 149839.76
## 69 1529 134909.98
## 70 1530 169077.55
## 71 1531 111004.51
## 72 1532 110419.96
## 73 1533 144021.47
## 74 1534 116124.10
## 75 1535 131882.70
## 76 1536 100695.43
## 77 1537 69748.66
## 78 1538 153578.13
## 79 1539 218341.18
## 80 1540 95907.87
## 81 1541 140699.52
## 82 1542 140094.09
## 83 1543 206611.51
## 84 1544 90327.49
## 85 1545 129057.60
## 86 1546 155901.44
## 87 1547 137676.30
## 88 1548 131919.48
## 89 1549 118346.10
## 90 1550 134273.43
## 91 1551 135047.88
## 92 1552 111256.71
## 93 1553 137298.68
## 94 1554 117990.65
## 95 1555 186191.04
## 96 1556 131282.29
## 97 1557 103362.44
## 98 1558 109380.96
## 99 1559 95377.85
## 100 1560 157318.40
## 101 1561 154286.89
## 102 1562 128767.41
## 103 1563 127973.96
## 104 1564 147343.31
## 105 1565 130176.80
## 106 1566 239304.06
## 107 1567 104268.96
## 108 1568 237600.96
## 109 1569 141581.25
## 110 1570 152786.32
## 111 1571 108979.97
## 112 1572 141310.90
## 113 1573 239019.50
## 114 1574 144910.52
## 115 1575 236248.33
## 116 1576 221192.99
## 117 1577 179540.91
## 118 1578 161452.13
## 119 1579 143822.50
## 120 1580 191836.50
## 121 1581 149698.40
## 122 1582 130095.21
## 123 1583 290034.54
## 124 1584 226109.07
## 125 1585 146868.75
## 126 1586 59439.96
## 127 1587 93619.00
## 128 1588 135598.21
## 129 1589 92292.19
## 130 1590 140072.25
## 131 1591 71660.19
## 132 1592 149582.15
## 133 1593 132184.32
## 134 1594 152781.52
## 135 1595 114092.60
## 136 1596 228213.94
## 137 1597 192437.70
## 138 1598 220445.42
## 139 1599 171084.19
## 140 1600 173065.48
## 141 1601 47636.42
## 142 1602 117604.89
## 143 1603 56371.96
## 144 1604 279009.12
## 145 1605 246435.26
## 146 1606 166817.90
## 147 1607 207095.73
## 148 1608 216105.51
## 149 1609 186500.89
## 150 1610 155447.09
## 151 1611 155537.63
## 152 1612 159533.15
## 153 1613 153537.77
## 154 1614 124116.31
## 155 1615 64283.82
## 156 1616 64923.93
## 157 1617 72599.47
## 158 1618 109565.31
## 159 1619 120133.34
## 160 1620 209075.55
## 161 1621 126413.35
## 162 1622 115805.24
## 163 1623 272300.46
## 164 1624 208446.83
## 165 1625 123873.21
## 166 1626 182837.58
## 167 1627 171217.16
## 168 1628 260482.25
## 169 1629 190804.44
## 170 1630 372943.31
## 171 1631 239220.36
## 172 1632 283715.40
## 173 1633 179527.36
## 174 1634 183896.63
## 175 1635 183665.26
## 176 1636 156781.63
## 177 1637 183325.07
## 178 1638 185264.26
## 179 1639 182278.97
## 180 1640 256787.58
## 181 1641 187419.69
## 182 1642 248874.76
## 183 1643 233503.64
## 184 1644 231433.01
## 185 1645 181018.85
## 186 1646 164094.17
## 187 1647 167166.43
## 188 1648 133260.94
## 189 1649 141748.60
## 190 1650 120560.22
## 191 1651 120852.20
## 192 1652 113570.42
## 193 1653 113320.73
## 194 1654 143335.68
## 195 1655 164597.69
## 196 1656 141313.17
## 197 1657 154807.96
## 198 1658 141585.50
## 199 1659 134456.04
## 200 1660 155866.00
## 201 1661 436608.18
## 202 1662 462543.95
## 203 1663 357395.31
## 204 1664 542690.61
## 205 1665 293550.93
## 206 1666 321077.03
## 207 1667 321750.56
## 208 1668 301989.09
## 209 1669 303592.82
## 210 1670 329578.94
## 211 1671 270425.53
## 212 1672 455388.24
## 213 1673 307016.95
## 214 1674 235897.63
## 215 1675 183543.64
## 216 1676 213269.90
## 217 1677 230912.21
## 218 1678 472054.37
## 219 1679 396814.56
## 220 1680 361107.08
## 221 1681 246971.20
## 222 1682 304544.50
## 223 1683 184637.43
## 224 1684 184322.60
## 225 1685 171764.82
## 226 1686 164344.33
## 227 1687 185389.07
## 228 1688 192443.71
## 229 1689 191856.84
## 230 1690 197463.45
## 231 1691 187471.39
## 232 1692 252890.24
## 233 1693 178729.35
## 234 1694 178431.15
## 235 1695 182404.21
## 236 1696 271615.95
## 237 1697 180975.89
## 238 1698 345282.05
## 239 1699 314833.82
## 240 1700 260509.75
## 241 1701 291509.98
## 242 1702 254795.68
## 243 1703 260891.45
## 244 1704 270946.70
## 245 1705 222663.95
## 246 1706 413506.81
## 247 1707 214719.95
## 248 1708 200775.44
## 249 1709 263905.42
## 250 1710 223721.19
## 251 1711 260743.11
## 252 1712 280291.82
## 253 1713 270553.04
## 254 1714 228037.35
## 255 1715 214046.60
## 256 1716 164764.87
## 257 1717 165636.39
## 258 1718 125110.73
## 259 1719 198060.71
## 260 1720 210408.62
## 261 1721 169361.41
## 262 1722 127509.06
## 263 1723 155503.29
## 264 1724 211694.39
## 265 1725 229435.11
## 266 1726 163514.37
## 267 1727 163702.27
## 268 1728 185024.28
## 269 1729 149669.59
## 270 1730 150573.90
## 271 1731 132855.39
## 272 1732 130138.26
## 273 1733 112747.25
## 274 1734 121810.18
## 275 1735 126129.54
## 276 1736 120331.49
## 277 1737 314991.14
## 278 1738 242534.76
## 279 1739 311087.37
## 280 1740 243283.84
## 281 1741 187629.05
## 282 1742 173331.21
## 283 1743 182186.64
## 284 1744 292786.26
## 285 1745 242685.95
## 286 1746 218648.89
## 287 1747 217760.77
## 288 1748 233096.70
## 289 1749 156506.74
## 290 1750 137018.69
## 291 1751 234737.74
## 292 1752 121549.21
## 293 1753 147416.79
## 294 1754 178285.03
## 295 1755 164067.73
## 296 1756 123071.32
## 297 1757 113317.42
## 298 1758 145407.64
## 299 1759 170703.64
## 300 1760 169717.01
## 301 1761 152225.05
## 302 1762 140003.12
## 303 1763 175801.38
## 304 1764 124726.23
## 305 1765 166282.52
## 306 1766 176039.23
## 307 1767 202111.02
## 308 1768 132848.52
## 309 1769 177208.21
## 310 1770 156925.81
## 311 1771 122536.52
## 312 1772 138549.23
## 313 1773 129504.74
## 314 1774 158547.97
## 315 1775 143199.69
## 316 1776 121843.48
## 317 1777 117105.37
## 318 1778 134635.72
## 319 1779 123287.74
## 320 1780 182019.71
## 321 1781 119142.32
## 322 1782 70116.61
## 323 1783 134401.49
## 324 1784 94595.22
## 325 1785 106900.87
## 326 1786 145516.75
## 327 1787 159808.91
## 328 1788 45977.48
## 329 1789 97683.22
## 330 1790 93203.46
## 331 1791 179300.56
## 332 1792 147474.23
## 333 1793 159953.49
## 334 1794 152041.43
## 335 1795 132051.75
## 336 1796 133616.93
## 337 1797 121439.42
## 338 1798 116493.89
## 339 1799 118236.79
## 340 1800 134412.93
## 341 1801 119771.79
## 342 1802 125272.84
## 343 1803 139617.65
## 344 1804 129670.21
## 345 1805 150303.44
## 346 1806 122220.20
## 347 1807 147921.80
## 348 1808 127414.37
## 349 1809 109951.82
## 350 1810 113421.35
## 351 1811 81573.49
## 352 1812 89624.06
## 353 1813 105843.23
## 354 1814 91901.69
## 355 1815 56808.69
## 356 1816 96683.71
## 357 1817 105256.43
## 358 1818 167000.82
## 359 1819 141112.60
## 360 1820 80021.72
## 361 1821 104033.01
## 362 1822 139927.63
## 363 1823 53222.27
## 364 1824 152734.44
## 365 1825 142912.25
## 366 1826 105210.50
## 367 1827 119140.22
## 368 1828 132730.68
## 369 1829 157154.52
## 370 1830 130495.13
## 371 1831 157417.45
## 372 1832 95464.53
## 373 1833 153955.68
## 374 1834 119340.37
## 375 1835 134091.92
## 376 1836 127732.57
## 377 1837 84272.18
## 378 1838 140848.40
## 379 1839 114262.90
## 380 1840 157919.84
## 381 1841 157169.97
## 382 1842 121702.05
## 383 1843 116104.43
## 384 1844 149874.44
## 385 1845 123589.35
## 386 1846 154614.96
## 387 1847 189713.51
## 388 1848 59175.65
## 389 1849 141924.07
## 390 1850 126514.54
## 391 1851 143922.51
## 392 1852 122650.86
## 393 1853 119831.44
## 394 1854 197697.99
## 395 1855 203242.11
## 396 1856 222695.79
## 397 1857 222470.02
## 398 1858 124884.34
## 399 1859 121896.47
## 400 1860 152717.61
## 401 1861 119849.01
## 402 1862 288581.93
## 403 1863 271315.98
## 404 1864 271479.12
## 405 1865 301971.89
## 406 1866 285989.20
## 407 1867 221554.83
## 408 1868 269531.63
## 409 1869 202862.61
## 410 1870 216750.86
## 411 1871 225921.58
## 412 1872 176626.34
## 413 1873 242539.07
## 414 1874 134331.42
## 415 1875 204586.12
## 416 1876 194163.98
## 417 1877 208077.86
## 418 1878 192575.40
## 419 1879 115579.77
## 420 1880 136551.88
## 421 1881 229198.58
## 422 1882 251789.54
## 423 1883 196449.19
## 424 1884 210566.38
## 425 1885 237665.46
## 426 1886 262587.12
## 427 1887 209521.12
## 428 1888 247315.18
## 429 1889 172277.02
## 430 1890 123451.00
## 431 1891 139415.74
## 432 1892 71884.06
## 433 1893 144994.61
## 434 1894 130605.15
## 435 1895 148135.13
## 436 1896 116219.81
## 437 1897 116748.10
## 438 1898 124711.96
## 439 1899 175984.58
## 440 1900 163978.25
## 441 1901 174197.89
## 442 1902 138904.90
## 443 1903 233386.83
## 444 1904 153786.64
## 445 1905 201887.58
## 446 1906 167346.66
## 447 1907 225965.31
## 448 1908 111155.85
## 449 1909 140508.19
## 450 1910 122722.05
## 451 1911 221152.48
## 452 1912 347171.80
## 453 1913 169187.68
## 454 1914 71961.61
## 455 1915 317004.75
## 456 1916 63059.13
## 457 1917 241170.81
## 458 1918 140155.46
## 459 1919 171020.37
## 460 1920 163304.49
## 461 1921 326782.24
## 462 1922 276243.41
## 463 1923 237813.29
## 464 1924 233076.57
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## 1204 2664 274261.61
## 1205 2665 363577.20
## 1206 2666 300207.51
## 1207 2667 180078.04
## 1208 2668 189531.06
## 1209 2669 169755.93
## 1210 2670 300860.92
## 1211 2671 189595.97
## 1212 2672 205317.28
## 1213 2673 199109.12
## 1214 2674 202881.37
## 1215 2675 164287.95
## 1216 2676 191738.73
## 1217 2677 181547.67
## 1218 2678 284259.48
## 1219 2679 274146.70
## 1220 2680 295368.27
## 1221 2681 410342.92
## 1222 2682 322741.43
## 1223 2683 537692.03
## 1224 2684 316032.17
## 1225 2685 353176.76
## 1226 2686 281173.95
## 1227 2687 301011.47
## 1228 2688 237663.55
## 1229 2689 212788.19
## 1230 2690 446509.61
## 1231 2691 191603.32
## 1232 2692 124559.62
## 1233 2693 191031.52
## 1234 2694 138575.20
## 1235 2695 177822.30
## 1236 2696 170433.33
## 1237 2697 163705.47
## 1238 2698 171982.63
## 1239 2699 182545.90
## 1240 2700 153118.52
## 1241 2701 144594.92
## 1242 2702 132315.96
## 1243 2703 141045.40
## 1244 2704 143524.70
## 1245 2705 111995.92
## 1246 2706 111063.46
## 1247 2707 134684.17
## 1248 2708 121825.13
## 1249 2709 102732.25
## 1250 2710 116815.57
## 1251 2711 377767.09
## 1252 2712 364818.38
## 1253 2713 174960.29
## 1254 2714 153065.59
## 1255 2715 159835.25
## 1256 2716 156015.36
## 1257 2717 201617.45
## 1258 2718 227950.03
## 1259 2719 152937.76
## 1260 2720 179430.90
## 1261 2721 140888.10
## 1262 2722 141456.95
## 1263 2723 150179.22
## 1264 2724 129980.43
## 1265 2725 133267.54
## 1266 2726 136558.25
## 1267 2727 182208.84
## 1268 2728 176650.42
## 1269 2729 132327.04
## 1270 2730 136813.36
## 1271 2731 139108.29
## 1272 2732 117511.63
## 1273 2733 162170.67
## 1274 2734 158077.51
## 1275 2735 133265.83
## 1276 2736 127046.16
## 1277 2737 116187.93
## 1278 2738 151942.95
## 1279 2739 168427.80
## 1280 2740 133634.39
## 1281 2741 136718.36
## 1282 2742 156983.51
## 1283 2743 140369.53
## 1284 2744 161626.69
## 1285 2745 144891.86
## 1286 2746 139894.24
## 1287 2747 164864.43
## 1288 2748 126285.02
## 1289 2749 117536.08
## 1290 2750 139728.70
## 1291 2751 135434.73
## 1292 2752 194082.61
## 1293 2753 155743.77
## 1294 2754 210148.97
## 1295 2755 136640.61
## 1296 2756 71088.61
## 1297 2757 87169.88
## 1298 2758 93727.15
## 1299 2759 127219.99
## 1300 2760 91143.41
## 1301 2761 151147.96
## 1302 2762 149229.84
## 1303 2763 198963.43
## 1304 2764 176086.89
## 1305 2765 218869.08
## 1306 2766 109246.77
## 1307 2767 99551.65
## 1308 2768 134863.63
## 1309 2769 119163.72
## 1310 2770 164285.01
## 1311 2771 124056.50
## 1312 2772 120885.68
## 1313 2773 132795.36
## 1314 2774 118784.23
## 1315 2775 94671.09
## 1316 2776 146002.97
## 1317 2777 139839.32
## 1318 2778 111425.91
## 1319 2779 104330.86
## 1320 2780 109296.45
## 1321 2781 96136.99
## 1322 2782 83065.99
## 1323 2783 68208.49
## 1324 2784 116831.09
## 1325 2785 111230.17
## 1326 2786 82656.25
## 1327 2787 115761.96
## 1328 2788 66499.11
## 1329 2789 155953.95
## 1330 2790 90516.84
## 1331 2791 105338.69
## 1332 2792 51780.99
## 1333 2793 166375.37
## 1334 2794 87780.20
## 1335 2795 118398.81
## 1336 2796 103958.58
## 1337 2797 176036.14
## 1338 2798 89518.10
## 1339 2799 108542.58
## 1340 2800 71002.13
## 1341 2801 113186.13
## 1342 2802 126620.76
## 1343 2803 170205.27
## 1344 2804 145895.53
## 1345 2805 110356.82
## 1346 2806 104741.05
## 1347 2807 172573.79
## 1348 2808 138393.17
## 1349 2809 143793.40
## 1350 2810 119664.41
## 1351 2811 159208.79
## 1352 2812 157864.94
## 1353 2813 155334.25
## 1354 2814 153753.30
## 1355 2815 116382.63
## 1356 2816 241722.65
## 1357 2817 143343.17
## 1358 2818 139273.43
## 1359 2819 210576.14
## 1360 2820 130667.25
## 1361 2821 110116.94
## 1362 2822 189394.99
## 1363 2823 44212.09
## 1364 2824 164391.08
## 1365 2825 162877.25
## 1366 2826 129481.14
## 1367 2827 126082.25
## 1368 2828 252359.75
## 1369 2829 209332.34
## 1370 2830 243249.13
## 1371 2831 170010.25
## 1372 2832 252078.18
## 1373 2833 275658.15
## 1374 2834 225334.94
## 1375 2835 213014.21
## 1376 2836 189303.76
## 1377 2837 177750.20
## 1378 2838 141883.97
## 1379 2839 178609.25
## 1380 2840 199138.94
## 1381 2841 197774.22
## 1382 2842 227801.36
## 1383 2843 137068.87
## 1384 2844 175902.37
## 1385 2845 107842.85
## 1386 2846 200604.60
## 1387 2847 193296.74
## 1388 2848 224399.78
## 1389 2849 204895.94
## 1390 2850 274864.08
## 1391 2851 241793.30
## 1392 2852 239065.16
## 1393 2853 234595.93
## 1394 2854 146332.14
## 1395 2855 201625.46
## 1396 2856 216579.16
## 1397 2857 188780.62
## 1398 2858 206986.47
## 1399 2859 134406.78
## 1400 2860 123782.84
## 1401 2861 135717.95
## 1402 2862 175666.05
## 1403 2863 119627.30
## 1404 2864 181310.80
## 1405 2865 147645.19
## 1406 2866 144920.47
## 1407 2867 73148.18
## 1408 2868 131472.03
## 1409 2869 107406.46
## 1410 2870 149470.34
## 1411 2871 76903.99
## 1412 2872 17880.18
## 1413 2873 115219.06
## 1414 2874 113163.38
## 1415 2875 125441.76
## 1416 2876 169550.13
## 1417 2877 123014.77
## 1418 2878 160960.69
## 1419 2879 113031.46
## 1420 2880 101112.90
## 1421 2881 161872.42
## 1422 2882 157798.76
## 1423 2883 187115.65
## 1424 2884 214313.54
## 1425 2885 182514.89
## 1426 2886 213854.61
## 1427 2887 102666.24
## 1428 2888 130019.78
## 1429 2889 66984.69
## 1430 2890 68836.91
## 1431 2891 138766.14
## 1432 2892 47437.92
## 1433 2893 90915.54
## 1434 2894 59854.72
## 1435 2895 331825.34
## 1436 2896 278441.27
## 1437 2897 191379.51
## 1438 2898 171090.47
## 1439 2899 200484.17
## 1440 2900 160364.86
## 1441 2901 145502.91
## 1442 2902 194466.34
## 1443 2903 308409.45
## 1444 2904 319232.69
## 1445 2905 100693.19
## 1446 2906 208912.27
## 1447 2907 98248.14
## 1448 2908 124092.41
## 1449 2909 163967.79
## 1450 2910 82462.73
## 1451 2911 71449.94
## 1452 2912 149567.88
## 1453 2913 74592.57
## 1454 2914 63822.70
## 1455 2915 64441.68
## 1456 2916 74572.44
## 1457 2917 126261.21
## 1458 2918 112957.66
## 1459 2919 204540.15#write_csv(fw_submission, "../kaggleData/forward SelectionPredictions.csv")
nrow(fw_submission)## [1] 1459sum(is.na(fw_submission))## [1] 0fw_submission_na <- fw_submission %>% filter_all(any_vars(is.na(.)))
#fw_submission_nafw_vif = VIF(fw_model)
c(fw_vif)## OverallQual GrLivArea
## 3.773907 256.636732
## KitchenQual_Ex X1stFlrSF
## 2.632573 99.014170
## GrLivArea2 Neighborhood_Edwards
## 80.586735 3.381014
## YearRemodAdd LotArea
## 2.625878 51.757325
## X2ndFlrSF HalfBath
## 124.985564 2.554708
## SaleCondition_Abnorml SaleCondition_Normal
## 2.375484 3.093742
## BsmtFullBath GarageCars
## 1.386227 2.177654
## SaleCondition_Alloca SaleCondition_Family
## 1.462102 1.326634
## KitchenQual_Gd HouseStyle_1.5Unf
## 2.394590 1.802298
## Neighborhood_OldTown SaleCondition_AdjLand
## 3.094342 1.195917
## Fireplaces PoolArea
## 1.753694 1.393860
## Neighborhood_Crawfor Neighborhood_NWAmes
## 2.198957 3.245744
## FullBath BedroomAbvGr
## 3.261856 2.790470
## Neighborhood_Blmngtn Neighborhood_MeadowV
## 1.619091 1.585665
## Neighborhood_Veenker Neighborhood_NridgHt
## 1.773985 10.193973
## HouseStyle_2.5Unf Neighborhood_SawyerW
## 1.512316 2.647668
## Neighborhood_Mitchel Neighborhood_NAmes
## 2.181674 5.956861
## Neighborhood_Timber Neighborhood_Sawyer
## 2.254797 3.583141
## KitchenQual_Fa Neighborhood_CollgCr
## 1.211134 4.902969
## Neighborhood_BrDale Remodel
## 1.695397 1.610638
## HouseStyle_SFoyer Neighborhood_ClearCr
## 1.898585 2.622540
## YrSold Neighborhood_NPkVill
## 1.097667 1.322714
## Neighborhood_Blueste Neighborhood_Somerst
## 1.089321 4.422364
## Neighborhood_StoneBr BsmtHalfBath
## 3.130177 1.152040
## Neighborhood_SWISU Neighborhood_IDOTRR
## 2.987812 1.650536
## HouseStyle_1.5Fin Neighborhood_Gilbert
## 4.642037 3.464586
## HouseStyle_1Story HouseStyle_2Story
## 8.775975 11.876228
## Neighborhood_NoRidge Neighborhood_Edwards:GrLivArea2
## 2.824040 35.519032
## GrLivArea:Neighborhood_Edwards GrLivArea2:Neighborhood_NAmes
## 18.596586 2.555765
## LotArea:Neighborhood_NridgHt KitchenQual_Ex:GrLivArea2
## 2.155952 8.040991
## GrLivArea:KitchenQual_Gd LotArea:HouseStyle_2Story
## 3.023628 2.389516
## BedroomAbvGr:Neighborhood_NridgHt GrLivArea:Neighborhood_OldTown
## 2.184358 1.536993
## GrLivArea2:Neighborhood_ClearCr GrLivArea:Neighborhood_NridgHt
## 48.057151 174.058099
## GrLivArea:HouseStyle_1Story GrLivArea:Neighborhood_Sawyer
## 6.044251 2.036288
## GrLivArea:SaleCondition_Abnorml Neighborhood_Edwards:LotArea
## 3.087632 5.359296
## GrLivArea:Neighborhood_ClearCr LotArea:Neighborhood_Somerst
## 52.816559 1.873854
## GrLivArea:Neighborhood_StoneBr BedroomAbvGr:Neighborhood_NAmes
## 93.125660 1.979839
## LotArea:Neighborhood_Crawfor LotArea:Neighborhood_SWISU
## 1.271402 2.195673
## GrLivArea2:Neighborhood_NWAmes GrLivArea2:Neighborhood_StoneBr
## 1.328769 97.173759
## BedroomAbvGr:Neighborhood_Veenker GrLivArea2:SaleCondition_Family
## 1.553344 1.264948
## GrLivArea:SaleCondition_Normal LotArea:SaleCondition_Normal
## 17.120036 47.686675
## LotArea:Neighborhood_StoneBr BedroomAbvGr:Neighborhood_SawyerW
## 3.234558 1.205464
## LotArea:Neighborhood_SawyerW GrLivArea2:Neighborhood_NridgHt
## 1.188339 132.762950bw_fit = ols_step_backward_p(lm_fit_q2, penter=0.05, details = F)
bw_fit##
##
## Elimination Summary
## ---------------------------------------------------------------------------------------------------------
## Variable Adj.
## Step Removed R-Square R-Square C(p) AIC RMSE
## ---------------------------------------------------------------------------------------------------------
## 1 GrLivArea:SaleCondition_Family 0.9318 0.9212 195.0012 33562.1859 22294.7567
## 2 Neighborhood_NWAmes:BedroomAbvGr 0.9318 0.9213 193.0036 33560.1886 22285.9637
## 3 Neighborhood_Gilbert:GrLivArea2 0.9318 0.9214 191.0075 33558.1932 22277.1954
## 4 KitchenQual_Ex:GrLivArea2 0.9318 0.9214 189.0125 33556.1990 22268.4465
## 5 Neighborhood_Timber:BedroomAbvGr 0.9318 0.9215 187.0177 33554.2050 22259.7091
## 6 Neighborhood_Somerst 0.9318 0.9215 185.2914 33552.5213 22253.3479
## 7 Neighborhood_CollgCr 0.9317 0.9215 184.9011 33552.3805 22258.7525
## 8 Neighborhood_Veenker:BedroomAbvGr 0.9317 0.9216 182.9016 33550.3811 22249.9990
## 9 SaleCondition_Abnorml:GrLivArea2 0.9317 0.9216 180.9027 33548.3824 22241.2608
## 10 GrLivArea:HouseStyle_SFoyer 0.9317 0.9217 178.9131 33546.3943 22232.6144
## 11 SaleCondition_Normal:GrLivArea2 0.9317 0.9217 176.9297 33544.4136 22224.0335
## 12 Neighborhood_BrDale:LotArea 0.9317 0.9218 174.9472 33542.4337 22215.4695
## 13 Neighborhood_Sawyer:GrLivArea2 0.9317 0.9219 172.9676 33540.4573 22206.9425
## 14 GrLivArea:Neighborhood_Blueste 0.9317 0.9219 170.9906 33538.4838 22198.4470
## 15 YrSold 0.9317 0.922 169.0133 33536.5099 22189.9594
## 16 Neighborhood_MeadowV:BedroomAbvGr 0.9317 0.922 167.0463 33534.5480 22181.5724
## 17 Neighborhood_MeadowV:LotArea 0.9317 0.9221 165.0589 33532.5626 22173.0163
## 18 Neighborhood_Gilbert:BedroomAbvGr 0.9317 0.9222 163.0964 33530.6058 22164.6886
## 19 Neighborhood_NoRidge 0.9317 0.9222 161.1312 33528.6461 22156.3477
## 20 HouseStyle_2.5Unf:GrLivArea2 0.9316 0.9223 159.1816 33526.7042 22148.1521
## 21 Neighborhood_IDOTRR:LotArea 0.9316 0.9223 157.2547 33524.7885 22140.1652
## 22 Neighborhood_OldTown:LotArea 0.9316 0.9224 155.3284 33522.8737 22132.1939
## 23 HouseStyle_1Story:BedroomAbvGr 0.9316 0.9224 153.4129 33520.9711 22124.3254
## 24 Neighborhood_CollgCr:GrLivArea2 0.9316 0.9225 151.5029 33519.0750 22116.5152
## 25 Remodel 0.9316 0.9225 149.6133 33517.2023 22108.8918
## 26 HouseStyle_1Story 0.9316 0.9226 148.0532 33515.7097 22104.1547
## 27 X2ndFlrSF 0.9316 0.9226 146.1410 33513.8109 22096.3517
## 28 GrLivArea:Neighborhood_IDOTRR 0.9316 0.9227 144.2540 33511.9413 22088.7783
## 29 GrLivArea:Neighborhood_SWISU 0.9316 0.9227 142.3597 33510.0631 22081.1498
## 30 SaleCondition_AdjLand 0.9316 0.9228 140.6235 33508.3672 22074.9077
## 31 GrLivArea:SaleCondition_AdjLand 0.9316 0.9228 138.6548 33506.4032 22066.6490
## 32 HouseStyle_SFoyer:BedroomAbvGr 0.9316 0.9229 136.7627 33504.5277 22059.0677
## 33 GrLivArea:Neighborhood_Blmngtn 0.9316 0.9229 134.9106 33502.6981 22051.8427
## 34 KitchenQual_Gd:BedroomAbvGr 0.9315 0.923 133.0577 33500.8677 22044.6197
## 35 Neighborhood_IDOTRR:GrLivArea2 0.9315 0.923 131.2274 33499.0632 22037.6018
## 36 KitchenQual_Fa:BedroomAbvGr 0.9315 0.9231 129.3854 33497.2451 22030.4906
## 37 Neighborhood_StoneBr:BedroomAbvGr 0.9315 0.9231 127.5596 33495.4458 22023.5291
## 38 HouseStyle_2.5Unf:BedroomAbvGr 0.9315 0.9232 125.7847 33493.7051 22017.0180
## 39 GrLivArea:HouseStyle_1.5Unf 0.9315 0.9232 123.9925 33491.9444 22010.3652
## 40 Neighborhood_OldTown:GrLivArea2 0.9315 0.9233 122.2228 33490.2095 22003.9156
## 41 Neighborhood_Mitchel:BedroomAbvGr 0.9315 0.9233 120.4538 33488.4754 21997.4796
## 42 GrLivArea:Neighborhood_NAmes 0.9315 0.9234 118.6825 33486.7386 21991.0323
## 43 KitchenQual_Fa:GrLivArea2 0.9315 0.9234 116.8575 33484.9400 21984.1272
## 44 Neighborhood_NPkVill 0.9314 0.9235 115.2235 33483.3611 21978.8848
## 45 GrLivArea:Neighborhood_NPkVill 0.9314 0.9235 113.2325 33481.3714 21970.5592
## 46 Neighborhood_NPkVill:GrLivArea2 0.9314 0.9236 111.3716 33479.5315 21963.3695
## 47 Neighborhood_NPkVill:BedroomAbvGr 0.9314 0.9236 109.3812 33477.5425 21955.0679
## 48 Neighborhood_NPkVill:LotArea 0.9314 0.9237 107.6272 33475.8253 21948.8188
## 49 GrLivArea:Neighborhood_BrDale 0.9314 0.9237 105.8935 33474.1315 21942.7534
## 50 Neighborhood_BrDale:BedroomAbvGr 0.9314 0.9238 104.0643 33472.3280 21935.8714
## 51 Neighborhood_Blueste 0.9314 0.9238 102.3255 33470.6282 21929.7772
## 52 Neighborhood_Timber 0.9312 0.9236 104.2643 33473.1481 21955.3966
## 53 HouseStyle_2.5Unf 0.9311 0.9236 103.1523 33472.1652 21954.6989
## 54 LotArea:HouseStyle_2.5Unf 0.9311 0.9237 101.4639 33470.5219 21949.0435
## 55 Neighborhood_Veenker:GrLivArea2 0.9311 0.9237 99.8972 33469.0178 21944.4418
## 56 GrLivArea:Neighborhood_Veenker 0.9311 0.9238 97.9645 33467.0948 21936.7001
## 57 GrLivArea:Neighborhood_NWAmes 0.931 0.9238 96.4419 33465.6409 21932.4906
## 58 SaleCondition_AdjLand:GrLivArea2 0.931 0.9238 95.0239 33464.3065 21929.1855
## 59 LotArea:SaleCondition_AdjLand 0.931 0.9238 93.4527 33462.7967 21924.5700
## 60 SaleCondition_Alloca:BedroomAbvGr 0.931 0.9239 91.9850 33461.4049 21920.8480
## 61 KitchenQual_Ex:BedroomAbvGr 0.9309 0.9239 90.4733 33459.9626 21916.7538
## 62 LotArea:HouseStyle_SFoyer 0.9309 0.9239 89.0635 33458.6365 21913.5383
## 63 Neighborhood_MeadowV 0.9307 0.9238 90.2208 33460.2360 21932.2933
## 64 Neighborhood_BrDale 0.9307 0.9238 89.4692 33459.6567 21934.6978
## 65 Neighborhood_Edwards:LotArea 0.9306 0.9238 88.0286 33458.2930 21931.2157
## 66 Neighborhood_Somerst:LotArea 0.9306 0.9238 86.4389 33456.7594 21926.4656
## 67 Neighborhood_StoneBr:LotArea 0.9306 0.9239 84.8331 33455.2075 21921.5845
## 68 Neighborhood_Veenker 0.9305 0.9238 84.3292 33454.9065 21926.1020
## 69 Neighborhood_Crawfor:BedroomAbvGr 0.9305 0.9239 82.8517 33453.4994 21922.3212
## 70 HouseStyle_1.5Fin:BedroomAbvGr 0.9304 0.9239 81.5802 33452.3257 21920.2983
## 71 Neighborhood_Mitchel:GrLivArea2 0.9304 0.9239 80.2217 33451.0529 21917.5387
## 72 Neighborhood_SawyerW:LotArea 0.9304 0.9239 79.0902 33450.0370 21916.7130
## 73 Neighborhood_BrDale:GrLivArea2 0.9303 0.9239 77.9602 33449.0219 21915.9005
## 74 HouseStyle_1.5Fin 0.9301 0.9237 80.3427 33451.9738 21944.8864
## 75 HouseStyle_2Story 0.930 0.9237 79.2729 33451.0226 21944.5650
## 76 Neighborhood_Sawyer 0.9292 0.9228 92.8754 33466.5043 22068.0937
## 77 KitchenQual_Fa 0.9291 0.9228 92.9117 33466.7704 22076.9843
## 78 GrLivArea:KitchenQual_Fa 0.9291 0.9228 91.2537 33465.1507 22071.6258
## 79 HouseStyle_SFoyer:GrLivArea2 0.929 0.9228 90.0553 33464.0416 22070.1335
## 80 GrLivArea:HouseStyle_2Story 0.929 0.9228 88.5616 33462.6041 22066.1652
## 81 SaleCondition_Family:BedroomAbvGr 0.9289 0.9229 87.4800 33461.6237 22065.6581
## 82 KitchenQual_Gd:GrLivArea2 0.9289 0.9229 86.3766 33460.6185 22064.9699
## 83 LotArea:HouseStyle_1.5Unf 0.9288 0.9229 85.2378 33459.5733 22063.9853
## ---------------------------------------------------------------------------------------------------------bw_model = bw_fit$model
ols_press(bw_model)## [1] 958477265292formatC(ols_press(bw_model), format = "e", digits = 6)## [1] "9.584773e+11"summary(bw_model)##
## Call:
## lm(formula = paste(response, "~", paste(preds, collapse = " + ")),
## data = l)
##
## Residuals:
## Min 1Q Median 3Q Max
## -150294 -11295 -361 11396 130759
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 187714.3 3152.3 59.548 < 2e-16 ***
## GrLivArea -12619.1 7525.1 -1.677 0.093788 .
## Neighborhood_Blmngtn -179014.9 120492.1 -1.486 0.137593
## Neighborhood_ClearCr -2230.6 6593.7 -0.338 0.735195
## Neighborhood_Crawfor 9174.4 4052.4 2.264 0.023736 *
## Neighborhood_Edwards -23629.5 3196.3 -7.393 2.52e-13 ***
## Neighborhood_Gilbert -3004.2 3311.1 -0.907 0.364400
## Neighborhood_IDOTRR -2732.3 4640.7 -0.589 0.556113
## Neighborhood_Mitchel -9315.5 4189.3 -2.224 0.026339 *
## Neighborhood_NAmes -15121.3 2480.2 -6.097 1.41e-09 ***
## Neighborhood_NridgHt -431.7 7544.8 -0.057 0.954381
## Neighborhood_NWAmes -8113.6 3497.2 -2.320 0.020486 *
## Neighborhood_OldTown -17492.1 2837.7 -6.164 9.35e-10 ***
## Neighborhood_SawyerW -9254.9 3295.3 -2.808 0.005049 **
## Neighborhood_StoneBr 9423.3 7035.0 1.339 0.180637
## Neighborhood_SWISU -25235.9 8467.0 -2.980 0.002929 **
## LotArea 17224.1 10150.7 1.697 0.089957 .
## SaleCondition_Abnorml -22395.5 3603.1 -6.216 6.80e-10 ***
## SaleCondition_Alloca -24254.1 7928.7 -3.059 0.002264 **
## SaleCondition_Family -14331.7 6370.7 -2.250 0.024633 *
## SaleCondition_Normal -8828.9 2689.6 -3.283 0.001055 **
## HouseStyle_1.5Unf -5395.6 6192.0 -0.871 0.383705
## HouseStyle_SFoyer -6129.5 5209.4 -1.177 0.239554
## KitchenQual_Ex 21644.4 3928.6 5.509 4.31e-08 ***
## KitchenQual_Gd 7801.4 1828.3 4.267 2.12e-05 ***
## YearRemodAdd 5417.4 888.8 6.095 1.43e-09 ***
## GarageCars 5371.4 876.3 6.130 1.15e-09 ***
## PoolArea 1669.0 719.7 2.319 0.020547 *
## Fireplaces 3890.5 764.3 5.091 4.08e-07 ***
## BsmtFullBath 7243.7 692.8 10.455 < 2e-16 ***
## BsmtHalfBath 2420.0 629.6 3.844 0.000127 ***
## FullBath 5838.5 1027.1 5.684 1.61e-08 ***
## HalfBath 3470.9 899.3 3.860 0.000119 ***
## BedroomAbvGr -15421.5 2776.9 -5.554 3.37e-08 ***
## OverallQual 18206.8 1099.0 16.567 < 2e-16 ***
## GrLivArea2 70028.5 8397.8 8.339 < 2e-16 ***
## X1stFlrSF 8672.2 1221.4 7.100 2.01e-12 ***
## GrLivArea:Neighborhood_ClearCr 100302.5 34752.3 2.886 0.003961 **
## GrLivArea:Neighborhood_CollgCr -14460.4 3439.4 -4.204 2.79e-05 ***
## GrLivArea:Neighborhood_Crawfor 42460.6 16582.7 2.561 0.010559 *
## GrLivArea:Neighborhood_Edwards 61218.4 9058.1 6.758 2.07e-11 ***
## GrLivArea:Neighborhood_Gilbert -5816.2 4872.5 -1.194 0.232816
## GrLivArea:Neighborhood_MeadowV 47945.6 27350.0 1.753 0.079822 .
## GrLivArea:Neighborhood_Mitchel -12069.7 5103.9 -2.365 0.018180 *
## GrLivArea:Neighborhood_NridgHt 64020.6 30780.0 2.080 0.037720 *
## GrLivArea:Neighborhood_OldTown -19649.5 3715.0 -5.289 1.43e-07 ***
## GrLivArea:Neighborhood_Sawyer -9881.8 4255.2 -2.322 0.020367 *
## GrLivArea:Neighborhood_SawyerW 29167.0 15539.9 1.877 0.060747 .
## GrLivArea:Neighborhood_Somerst 90866.2 20639.7 4.402 1.15e-05 ***
## GrLivArea:Neighborhood_StoneBr 96045.0 31548.9 3.044 0.002377 **
## GrLivArea:Neighborhood_Timber 52797.8 25385.4 2.080 0.037729 *
## GrLivArea:SaleCondition_Abnorml -25728.5 4389.4 -5.861 5.76e-09 ***
## GrLivArea:SaleCondition_Alloca 92889.4 49869.6 1.863 0.062730 .
## GrLivArea:SaleCondition_Normal -16910.7 3445.0 -4.909 1.03e-06 ***
## GrLivArea:HouseStyle_1.5Fin 33056.2 13325.1 2.481 0.013232 *
## GrLivArea:HouseStyle_1Story 21947.7 9078.7 2.418 0.015759 *
## GrLivArea:HouseStyle_2.5Unf -12479.1 7957.5 -1.568 0.117064
## GrLivArea:KitchenQual_Ex 17737.6 3273.2 5.419 7.09e-08 ***
## GrLivArea:KitchenQual_Gd 10486.5 1862.8 5.630 2.20e-08 ***
## Neighborhood_Blmngtn:GrLivArea2 38546.6 33572.5 1.148 0.251106
## Neighborhood_ClearCr:GrLivArea2 -123029.1 34254.3 -3.592 0.000340 ***
## Neighborhood_Crawfor:GrLivArea2 -49869.0 16886.2 -2.953 0.003199 **
## Neighborhood_Edwards:GrLivArea2 -116499.4 7449.5 -15.638 < 2e-16 ***
## GrLivArea2:Neighborhood_MeadowV -79383.4 35717.1 -2.223 0.026411 *
## Neighborhood_NAmes:GrLivArea2 -38363.5 4150.4 -9.243 < 2e-16 ***
## Neighborhood_NridgHt:GrLivArea2 -52724.7 28311.0 -1.862 0.062773 .
## Neighborhood_NWAmes:GrLivArea2 -15481.1 3865.7 -4.005 6.55e-05 ***
## Neighborhood_SawyerW:GrLivArea2 -38862.3 17387.6 -2.235 0.025577 *
## GrLivArea2:Neighborhood_Somerst -105418.0 24798.9 -4.251 2.28e-05 ***
## Neighborhood_StoneBr:GrLivArea2 -92112.9 28853.8 -3.192 0.001444 **
## Neighborhood_SWISU:GrLivArea2 -27450.1 8170.5 -3.360 0.000802 ***
## GrLivArea2:Neighborhood_Timber -58513.3 27142.8 -2.156 0.031279 *
## SaleCondition_Alloca:GrLivArea2 -76031.0 46331.8 -1.641 0.101029
## SaleCondition_Family:GrLivArea2 -29138.7 9275.5 -3.141 0.001718 **
## GrLivArea2:HouseStyle_1.5Fin -42633.0 14927.1 -2.856 0.004355 **
## HouseStyle_1.5Unf:GrLivArea2 -21637.7 6249.2 -3.462 0.000552 ***
## GrLivArea2:HouseStyle_1Story -24831.6 11501.1 -2.159 0.031021 *
## GrLivArea2:HouseStyle_2Story -9972.7 5013.9 -1.989 0.046901 *
## Neighborhood_Blmngtn:LotArea -296915.0 163543.2 -1.816 0.069667 .
## Neighborhood_ClearCr:LotArea -22543.3 3718.2 -6.063 1.73e-09 ***
## LotArea:Neighborhood_CollgCr -18060.8 9940.4 -1.817 0.069452 .
## Neighborhood_Crawfor:LotArea -27256.9 7904.5 -3.448 0.000582 ***
## Neighborhood_Gilbert:LotArea -11436.6 6052.9 -1.889 0.059046 .
## Neighborhood_Mitchel:LotArea -22164.4 6494.5 -3.413 0.000662 ***
## Neighborhood_NAmes:LotArea -19014.5 6331.3 -3.003 0.002720 **
## Neighborhood_NridgHt:LotArea 32055.7 10427.5 3.074 0.002153 **
## Neighborhood_NWAmes:LotArea -17698.9 10329.8 -1.713 0.086874 .
## LotArea:Neighborhood_Sawyer -37056.4 9119.2 -4.064 5.11e-05 ***
## Neighborhood_SWISU:LotArea -39523.9 23990.4 -1.647 0.099690 .
## LotArea:Neighborhood_Timber -23466.1 3617.7 -6.486 1.23e-10 ***
## LotArea:Neighborhood_Veenker -10397.2 6603.1 -1.575 0.115588
## LotArea:SaleCondition_Abnorml 9452.4 8801.8 1.074 0.283054
## LotArea:SaleCondition_Alloca -28973.1 14832.1 -1.953 0.050978 .
## LotArea:SaleCondition_Family 34716.0 18168.5 1.911 0.056245 .
## LotArea:SaleCondition_Normal 21943.7 6596.0 3.327 0.000902 ***
## LotArea:HouseStyle_1.5Fin -14720.5 7723.2 -1.906 0.056860 .
## LotArea:HouseStyle_1Story -11486.0 7641.4 -1.503 0.133040
## LotArea:HouseStyle_2Story -10074.3 7911.5 -1.273 0.203102
## Neighborhood_Blmngtn:BedroomAbvGr 27419.8 12996.2 2.110 0.035057 *
## Neighborhood_ClearCr:BedroomAbvGr 5174.2 3711.1 1.394 0.163468
## BedroomAbvGr:Neighborhood_CollgCr 12700.4 3805.2 3.338 0.000868 ***
## Neighborhood_Edwards:BedroomAbvGr 9695.6 3436.3 2.822 0.004849 **
## Neighborhood_IDOTRR:BedroomAbvGr 6980.1 5064.0 1.378 0.168316
## Neighborhood_NAmes:BedroomAbvGr 12680.7 2480.6 5.112 3.65e-07 ***
## Neighborhood_NridgHt:BedroomAbvGr -16747.6 4200.6 -3.987 7.05e-05 ***
## Neighborhood_OldTown:BedroomAbvGr 3854.5 3011.3 1.280 0.200755
## BedroomAbvGr:Neighborhood_Sawyer 3798.3 3491.2 1.088 0.276812
## Neighborhood_SawyerW:BedroomAbvGr -7035.9 4547.3 -1.547 0.122033
## BedroomAbvGr:Neighborhood_Somerst 5433.3 4122.0 1.318 0.187688
## Neighborhood_SWISU:BedroomAbvGr 10192.0 4798.7 2.124 0.033861 *
## SaleCondition_Abnorml:BedroomAbvGr 9964.9 3444.9 2.893 0.003882 **
## SaleCondition_Normal:BedroomAbvGr 5464.2 2512.1 2.175 0.029790 *
## HouseStyle_1.5Unf:BedroomAbvGr 14812.1 5294.6 2.798 0.005222 **
## BedroomAbvGr:HouseStyle_2Story 5023.9 2010.8 2.498 0.012591 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 22060 on 1346 degrees of freedom
## Multiple R-squared: 0.9288, Adjusted R-squared: 0.9229
## F-statistic: 155.5 on 113 and 1346 DF, p-value: < 2.2e-16#confint(bw_model)ols_plot_cooksd_bar(bw_model)
bw_model_outliers = ols_plot_cooksd_bar(bw_model, print_plot=F)
bw_model_outliers## $plot
##
## $outliers
## observation cooks_distance
## 4 4 0.005410184
## 57 57 0.003729723
## 59 59 0.002825880
## 114 114 0.006071182
## 119 119 0.006438544
## 145 145 0.021480557
## 154 154 0.010714036
## 164 164 0.011701609
## 167 167 0.004450196
## 172 172 0.004282278
## 179 179 0.010830156
## 186 186 0.045301226
## 209 209 0.002755002
## 219 219 0.005660810
## 252 252 0.016415131
## 262 262 0.026403075
## 292 292 0.004984037
## 305 305 0.028064969
## 314 314 0.130943696
## 321 321 0.004904084
## 322 322 0.002892070
## 323 323 0.003166913
## 325 325 0.009697685
## 331 331 0.004381342
## 336 336 0.011188616
## 337 337 0.003777128
## 349 349 0.004557693
## 350 350 0.009507695
## 363 363 0.004962558
## 378 378 0.012925103
## 384 384 0.008158743
## 385 385 0.011894331
## 412 412 0.010129972
## 441 441 0.021313409
## 474 474 0.007137404
## 478 478 0.004741781
## 497 497 0.015777999
## 524 524 0.019226023
## 530 530 0.390033372
## 560 560 0.004278461
## 567 567 0.005716073
## 582 582 0.010101430
## 584 584 0.005857947
## 589 589 0.113464167
## 592 592 0.002951533
## 608 608 0.005699323
## 609 609 0.097642545
## 633 633 0.022385264
## 640 640 0.004197552
## 641 641 0.005620369
## 643 643 0.004437577
## 665 665 0.028574735
## 682 682 0.010645237
## 686 686 0.008299243
## 689 689 0.035975107
## 693 693 0.007738495
## 703 703 0.003882750
## 707 707 0.011377952
## 717 717 0.004056408
## 729 729 0.002834406
## 739 739 0.013176651
## 745 745 0.004029796
## 770 770 0.074471336
## 775 775 0.004829141
## 790 790 0.005433403
## 799 799 0.025318075
## 804 804 0.057211135
## 811 811 0.006564184
## 819 819 0.004609584
## 826 826 0.008220578
## 829 829 0.009662400
## 841 841 0.007148538
## 849 849 0.003116365
## 869 869 0.003976266
## 876 876 0.027966761
## 878 878 0.003457992
## 886 886 0.014957182
## 898 898 0.011087677
## 899 899 0.041987641
## 926 926 0.004626005
## 940 940 0.004613323
## 962 962 0.004764487
## 1011 1011 0.007002476
## 1025 1025 0.135382474
## 1031 1031 0.003900336
## 1032 1032 0.015002474
## 1047 1047 0.054556361
## 1049 1049 0.007648044
## 1063 1063 0.007004416
## 1066 1066 0.019353034
## 1069 1069 0.020947713
## 1098 1098 0.004166423
## 1108 1108 0.007355873
## 1127 1127 0.004462149
## 1128 1128 0.005038149
## 1143 1143 0.009282800
## 1146 1146 0.004607123
## 1164 1164 0.019520422
## 1169 1169 0.004906509
## 1170 1170 0.007023840
## 1174 1174 0.833437625
## 1176 1176 0.012047450
## 1182 1182 0.017048520
## 1183 1183 0.004707578
## 1217 1217 0.006453425
## 1235 1235 0.003396644
## 1268 1268 0.006111042
## 1269 1269 0.074152041
## 1285 1285 0.003377226
## 1299 1299 0.042553415
## 1325 1325 0.034893774
## 1329 1329 0.031697969
## 1347 1347 0.003035773
## 1360 1360 0.006691130
## 1361 1361 0.007831404
## 1384 1384 0.020707458
## 1387 1387 0.044190835
## 1389 1389 0.006592997
## 1395 1395 0.006465416
## 1397 1397 0.003393152
## 1416 1416 0.004320625
## 1424 1424 0.134788141
## 1433 1433 0.003998709
## 1441 1441 0.004387928
## 1447 1447 0.006412712
##
## $threshold
## [1] 0.002739726ols_plot_dffits(bw_model)
ols_plot_diagnostics(bw_model)
ols_plot_resid_fit(bw_model)
ols_plot_resid_pot(bw_model)
ols_pred_rsq(bw_model)## [1] 0.8959072plot(bw_fit)
bw_predictions = c(predict(bw_model, newdata = one_encode_test_data_q2))
bw_predictions## 1 2 3 4 5 6 7 8
## 113715.15 149365.41 165609.85 180813.88 191126.38 167983.68 165331.39 162322.71
## 9 10 11 12 13 14 15 16
## 204526.64 121066.68 193820.30 103791.04 85971.59 146301.75 112857.03 400216.25
## 17 18 19 20 21 22 23 24
## 244683.23 288371.79 309735.82 478915.75 342285.59 212931.52 179052.51 143491.88
## 25 26 27 28 29 30 31 32
## 200937.93 197724.11 321311.21 249070.18 187494.23 219116.88 193819.43 108778.87
## 33 34 35 36 37 38 39 40
## 177902.27 299497.57 285021.16 219029.70 192594.15 151108.77 163374.75 153203.27
## 41 42 43 44 45 46 47 48
## 177717.82 136520.22 269711.83 249544.76 221930.35 179692.50 239067.80 202833.85
## 49 50 51 52 53 54 55 56
## 144820.04 149715.12 142703.67 166183.86 138375.53 180925.14 164203.17 154673.89
## 57 58 59 60 61 62 63 64
## 157883.64 146003.31 201110.75 131030.69 120388.27 179512.96 98913.55 123340.82
## 65 66 67 68 69 70 71 72
## 115926.19 116565.86 124566.08 152045.13 131564.57 166258.69 101796.30 103651.96
## 73 74 75 76 77 78 79 80
## 133050.68 116932.48 141825.09 102288.24 77392.33 157276.89 217289.68 96162.85
## 81 82 83 84 85 86 87 88
## 139032.55 134927.14 204572.57 78073.62 119010.78 143191.18 133299.83 121375.22
## 89 90 91 92 93 94 95 96
## 109178.05 122337.57 130451.43 102922.95 140318.73 108831.05 186100.00 128870.79
## 97 98 99 100 101 102 103 104
## 113586.56 108994.78 85021.68 145843.20 166265.82 132608.66 133498.70 155638.87
## 105 106 107 108 109 110 111 112
## 140736.77 239775.84 104834.25 239591.92 145848.46 153611.16 116659.76 137485.32
## 113 114 115 116 117 118 119 120
## 233090.20 141972.17 247864.83 220419.88 176642.49 160956.55 142167.60 187995.80
## 121 122 123 124 125 126 127 128
## 155004.82 136093.97 281640.81 230913.33 141704.04 64867.03 99180.75 132077.61
## 129 130 131 132 133 134 135 136
## 91134.34 134387.16 73256.49 139991.10 135581.57 134309.36 114396.64 228502.73
## 137 138 139 140 141 142 143 144
## 189049.46 238588.56 181480.77 177951.86 38980.25 117174.60 12840.36 281696.05
## 145 146 147 148 149 150 151 152
## 238458.31 165451.97 180492.66 215112.99 191504.59 156298.74 159288.03 155569.90
## 153 154 155 156 157 158 159 160
## 150971.36 134113.82 79671.58 80907.45 88590.68 109950.16 134598.50 200765.14
## 161 162 163 164 165 166 167 168
## 124888.02 99799.29 263650.96 201748.58 126576.99 181968.97 171869.75 259309.81
## 169 170 171 172 173 174 175 176
## 180133.65 387498.20 235507.00 279050.65 168631.91 182531.15 183169.72 153998.59
## 177 178 179 180 181 182 183 184
## 182150.18 187066.23 180205.99 258795.74 185553.64 257878.54 239489.39 237140.90
## 185 186 187 188 189 190 191 192
## 179824.10 163518.78 167072.50 131098.45 140061.42 125430.13 120165.08 118275.26
## 193 194 195 196 197 198 199 200
## 118012.86 141757.66 157634.08 140412.89 152581.78 140719.02 122767.40 154191.34
## 201 202 203 204 205 206 207 208
## 444143.82 459232.73 356396.31 532761.53 295246.71 322375.65 376520.76 303014.66
## 209 210 211 212 213 214 215 216
## 306097.58 331641.01 268822.76 450169.78 312755.15 235291.33 183296.87 212042.51
## 217 218 219 220 221 222 223 224
## 231575.08 452599.52 393188.41 365575.80 247689.22 305623.91 182011.00 186879.69
## 225 226 227 228 229 230 231 232
## 172108.71 159386.35 176499.92 192203.35 193561.14 199857.86 190882.32 250434.67
## 233 234 235 236 237 238 239 240
## 171036.09 178485.73 167764.16 273642.88 167774.04 348233.82 299990.85 244114.53
## 241 242 243 244 245 246 247 248
## 282229.03 254726.84 261008.56 272118.37 218409.74 388581.50 208213.42 194804.93
## 249 250 251 252 253 254 255 256
## 260119.80 221541.95 263222.55 282530.16 272081.89 225296.12 218006.18 159141.29
## 257 258 259 260 261 262 263 264
## 160016.09 119530.80 199351.03 210890.76 158807.11 117840.01 148145.42 225865.10
## 265 266 267 268 269 270 271 272
## 224790.60 169097.32 169972.53 189032.81 149528.48 154688.90 133191.24 130673.14
## 273 274 275 276 277 278 279 280
## 116531.28 122906.60 130179.00 122539.77 310803.96 226234.54 261548.00 258409.24
## 281 282 283 284 285 286 287 288
## 178756.41 177770.29 188272.61 284606.74 230357.31 245271.13 221044.55 230286.23
## 289 290 291 292 293 294 295 296
## 154205.21 135497.40 230684.12 121082.44 141821.91 178505.64 172988.98 123807.10
## 297 298 299 300 301 302 303 304
## 113049.61 142535.83 169034.38 168234.41 153964.40 137946.74 178134.05 125395.71
## 305 306 307 308 309 310 311 312
## 161277.64 175876.85 205367.59 130875.59 176510.98 161001.64 122599.73 135814.36
## 313 314 315 316 317 318 319 320
## 131376.39 152165.06 141711.61 122700.76 120659.47 135825.48 121406.34 179822.40
## 321 322 323 324 325 326 327 328
## 116953.95 68130.34 142490.68 99426.29 108263.73 165465.78 159440.21 48750.48
## 329 330 331 332 333 334 335 336
## 109121.64 107535.01 186589.81 143881.55 160944.23 154274.38 131211.83 133479.48
## 337 338 339 340 341 342 343 344
## 127146.38 114647.17 119276.59 128493.26 123650.68 136699.29 141490.26 129041.16
## 345 346 347 348 349 350 351 352
## 149686.78 115856.11 146813.04 143519.47 111757.85 106443.20 84203.35 91802.42
## 353 354 355 356 357 358 359 360
## 99542.78 92216.68 61365.74 100819.47 107364.28 163659.06 138558.18 72164.69
## 361 362 363 364 365 366 367 368
## 97588.87 141926.82 49439.06 139487.27 140042.88 91109.64 107011.33 130754.78
## 369 370 371 372 373 374 375 376
## 152050.31 126894.53 157324.05 83011.65 167864.23 115359.48 106867.65 132241.45
## 377 378 379 380 381 382 383 384
## 58664.60 145351.61 124740.93 139551.91 153168.56 126835.61 120518.47 149208.47
## 385 386 387 388 389 390 391 392
## 137076.92 154354.82 206120.02 62433.31 130917.15 122264.24 139170.64 122340.71
## 393 394 395 396 397 398 399 400
## 122674.44 201491.57 212321.10 225019.02 197156.14 155955.94 128981.63 152911.51
## 401 402 403 404 405 406 407 408
## 125277.23 278631.84 267217.45 267325.30 297405.55 285288.08 222217.83 264134.41
## 409 410 411 412 413 414 415 416
## 199043.40 215035.43 226032.51 179342.27 239591.36 139307.15 205462.14 190314.67
## 417 418 419 420 421 422 423 424
## 207916.96 202080.64 125598.42 134805.20 227503.21 254692.43 193695.13 204451.39
## 425 426 427 428 429 430 431 432
## 232819.78 257291.26 209544.17 245966.63 176339.38 119424.92 126730.79 75575.49
## 433 434 435 436 437 438 439 440
## 138313.87 132810.45 136770.06 118141.84 118476.58 125068.34 165026.84 157072.58
## 441 442 443 444 445 446 447 448
## 188310.58 141873.32 211680.68 150990.51 204284.02 181374.50 233156.94 113482.47
## 449 450 451 452 453 454 455 456
## 141761.36 122929.80 234465.07 351099.58 197854.79 68369.90 331929.01 86912.35
## 457 458 459 460 461 462 463 464
## 232119.62 148023.72 174106.58 160579.92 336685.42 284270.79 248907.19 240905.22
## 465 466 467 468 469 470 471 472
## 213541.72 341541.24 104770.98 154779.65 119958.26 147728.38 142500.38 125057.99
## 473 474 475 476 477 478 479 480
## 124606.71 168988.37 158978.13 164427.02 180311.68 175227.77 282086.43 191306.65
## 481 482 483 484 485 486 487 488
## 171204.38 197606.12 221575.85 361069.35 366230.63 192079.08 314776.31 274844.70
## 489 490 491 492 493 494 495 496
## 250239.59 179773.42 261922.96 224719.24 172640.44 196284.35 123176.29 297230.97
## 497 498 499 500 501 502 503 504
## 177263.40 265837.25 147974.81 102060.03 136854.79 114451.93 104665.56 102013.10
## 505 506 507 508 509 510 511 512
## 127686.21 142678.44 263659.46 390547.51 390808.30 382848.00 429551.41 374277.35
## 513 514 515 516 517 518 519 520
## 241015.02 319254.23 524462.37 284281.57 372854.72 367176.75 379522.43 230039.12
## 521 522 523 524 525 526 527 528
## 360372.82 217897.49 203938.08 177707.69 191373.84 209898.48 169922.55 174299.85
## 529 530 531 532 533 534 535 536
## 195610.65 206500.22 230219.30 193848.72 178479.42 219485.99 181964.28 252348.76
## 537 538 539 540 541 542 543 544
## 306654.42 302842.29 254719.29 298464.30 259659.70 254309.12 264292.88 287648.63
## 545 546 547 548 549 550 551 552
## 224424.85 211814.80 255214.36 199942.90 191152.95 196611.90 144106.88 156797.30
## 553 554 555 556 557 558 559 560
## 163819.12 180498.10 199083.30 184586.06 194725.40 133040.29 136766.52 126086.10
## 561 562 563 564 565 566 567 568
## 115364.24 199855.49 147966.44 299341.40 352537.11 171259.70 152063.79 155415.34
## 569 570 571 572 573 574 575 576
## 170147.83 275839.05 224109.19 243868.71 264180.89 167486.82 227245.88 213118.75
## 577 578 579 580 581 582 583 584
## 214777.89 325737.81 225170.74 375525.33 282827.76 207038.05 152901.10 152032.76
## 585 586 587 588 589 590 591 592
## 187702.12 139560.95 132242.71 147116.56 159313.03 153847.49 110761.85 134579.68
## 593 594 595 596 597 598 599 600
## 144121.49 73800.03 149787.41 158129.92 113463.96 191226.89 143793.09 161290.39
## 601 602 603 604 605 606 607 608
## 168880.25 132228.36 120221.20 130875.69 120566.06 176410.99 161610.69 156957.01
## 609 610 611 612 613 614 615 616
## 100115.96 90217.46 93113.92 148521.76 150033.92 180142.24 156401.08 116730.99
## 617 618 619 620 621 622 623 624
## 142314.72 126189.39 141115.38 129550.16 128330.78 144537.95 130501.44 117201.79
## 625 626 627 628 629 630 631 632
## 117318.82 138123.17 120826.39 94370.91 90182.60 110072.97 106498.76 122927.38
## 633 634 635 636 637 638 639 640
## 141777.62 142680.82 145419.86 96744.33 88975.47 119370.76 65409.23 89660.01
## 641 642 643 644 645 646 647 648
## 124534.90 111066.45 115018.73 142062.15 107993.98 74328.65 192268.96 122375.26
## 649 650 651 652 653 654 655 656
## 105915.20 123819.88 158670.90 144220.26 107863.72 126287.53 166028.12 122735.11
## 657 658 659 660 661 662 663 664
## 142875.77 142215.29 106327.19 119308.41 77484.73 96211.33 113399.12 181206.68
## 665 666 667 668 669 670 671 672
## 112413.53 176958.77 113313.71 100118.93 102014.90 127201.78 176891.16 136696.16
## 673 674 675 676 677 678 679 680
## 124852.18 133442.35 120995.80 84281.67 119122.54 124029.88 161439.94 134546.93
## 681 682 683 684 685 686 687 688
## 149142.68 116315.33 144731.90 72740.08 133325.12 169387.35 192034.32 171150.41
## 689 690 691 692 693 694 695 696
## 125438.65 229585.07 121526.75 183780.87 151047.78 105182.39 137310.33 256537.98
## 697 698 699 700 701 702 703 704
## 224860.61 227034.09 232748.03 191384.20 232104.53 321645.49 316542.70 229855.06
## 705 706 707 708 709 710 711 712
## 217778.88 146487.97 209554.63 200497.30 189626.44 217039.80 149827.04 138349.89
## 713 714 715 716 717 718 719 720
## 180579.67 232883.14 269642.39 263139.75 250967.09 218125.05 141957.77 191779.74
## 721 722 723 724 725 726 727 728
## 193855.15 210983.52 189325.77 107399.18 134596.72 150759.96 155869.90 144021.67
## 729 730 731 732 733 734 735 736
## 246170.36 105021.04 94491.78 76884.44 133669.01 115120.59 86301.46 87270.90
## 737 738 739 740 741 742 743 744
## 112913.74 154589.45 166098.29 158009.72 146759.31 219089.68 153762.60 196855.97
## 745 746 747 748 749 750 751 752
## 128583.45 153365.59 229537.08 283552.13 216878.80 113908.03 126485.10 114099.19
## 753 754 755 756 757 758 759 760
## 85211.19 123515.51 99324.21 152168.82 44328.83 77600.49 84327.21 84794.51
## 761 762 763 764 765 766 767 768
## 331929.01 284175.46 267710.11 203231.96 133675.09 166373.40 228119.60 242818.52
## 769 770 771 772 773 774 775 776
## 261536.61 151561.17 217785.30 185248.35 167670.01 229868.50 220788.32 262125.75
## 777 778 779 780 781 782 783 784
## 300641.75 204698.56 113734.69 173387.88 126108.67 110870.34 121466.23 91665.21
## 785 786 787 788 789 790 791 792
## 105892.91 129723.23 126310.79 125247.50 103781.53 115252.49 316525.38 167044.16
## 793 794 795 796 797 798 799 800
## 155183.48 173271.54 173239.77 176155.36 199544.84 164674.79 166760.39 74863.80
## 801 802 803 804 805 806 807 808
## 186574.87 218733.63 380808.91 426716.46 218739.34 299678.80 373325.16 402615.40
## 809 810 811 812 813 814 815 816
## 158576.84 185607.52 218812.53 211296.76 151407.63 192865.51 178305.43 181568.95
## 817 818 819 820 821 822 823 824
## 175533.05 152176.65 126191.28 105645.09 165705.64 184808.69 101191.44 111004.11
## 825 826 827 828 829 830 831 832
## 135129.26 129751.92 339641.47 271449.64 413169.64 471625.91 376696.41 437016.14
## 833 834 835 836 837 838 839 840
## 483425.35 400278.45 516596.25 343787.10 344409.09 323760.72 380035.93 349623.21
## 841 842 843 844 845 846 847 848
## 307163.10 232759.40 249178.72 272287.12 229746.13 200752.23 194397.42 223317.47
## 849 850 851 852 853 854 855 856
## 287511.01 219027.86 194545.99 178648.33 176831.62 176054.13 182966.31 222975.09
## 857 858 859 860 861 862 863 864
## 182943.89 178426.71 187867.07 176171.18 233438.25 172901.22 207487.97 194222.48
## 865 866 867 868 869 870 871 872
## 216368.97 184121.67 203026.90 207844.36 187632.56 173062.94 337391.22 404545.13
## 873 874 875 876 877 878 879 880
## 323403.92 267272.71 270872.68 296547.80 198658.44 265736.24 231576.78 392302.62
## 881 882 883 884 885 886 887 888
## 252745.28 237370.61 225263.88 227011.13 248720.35 206316.44 192893.38 251075.89
## 889 890 891 892 893 894 895 896
## 193415.09 308775.39 276780.85 266405.17 256889.50 116761.21 131862.48 135742.70
## 897 898 899 900 901 902 903 904
## 181165.80 188772.19 145216.57 138144.03 145809.12 310225.88 144851.43 156481.45
## 905 906 907 908 909 910 911 912
## 217768.13 199574.48 263407.61 224659.99 255106.23 173797.26 166349.30 183751.86
## 913 914 915 916 917 918 919 920
## 270856.93 286263.92 244792.83 315821.23 368730.51 155237.36 201077.79 135855.58
## 921 922 923 924 925 926 927 928
## 161419.37 200381.77 211165.41 227514.56 161102.16 134962.36 139046.17 130610.04
## 929 930 931 932 933 934 935 936
## 123580.00 147607.78 128304.92 114208.66 180743.72 149429.41 169127.25 154386.12
## 937 938 939 940 941 942 943 944
## 204141.84 134176.38 48027.95 54591.56 99884.41 128097.73 155350.06 148726.79
## 945 946 947 948 949 950 951 952
## 158893.01 145125.76 127168.31 136639.41 124295.95 173061.29 125381.35 135317.51
## 953 954 955 956 957 958 959 960
## 132872.16 148965.41 145026.15 131855.99 137135.20 135782.68 118203.52 139117.57
## 961 962 963 964 965 966 967 968
## 147589.58 122567.55 119202.87 151561.39 175020.67 124614.63 117332.29 182447.99
## 969 970 971 972 973 974 975 976
## 124514.21 143920.75 128417.68 138843.07 132764.50 135638.92 147144.55 113447.03
## 977 978 979 980 981 982 983 984
## 109174.12 126992.73 113109.84 109810.93 111985.17 104062.67 119614.85 128763.01
## 985 986 987 988 989 990 991 992
## 73497.21 113375.45 189362.02 123683.73 86552.18 142561.85 125930.98 194112.26
## 993 994 995 996 997 998 999 1000
## 91132.98 144334.57 144260.56 125580.00 117618.70 121748.40 90224.90 150652.58
## 1001 1002 1003 1004 1005 1006 1007 1008
## 102797.45 124645.59 135098.70 149037.65 131280.87 92113.28 157112.95 108066.16
## 1009 1010 1011 1012 1013 1014 1015 1016
## 113815.24 236795.23 212288.10 193209.77 111547.14 100680.41 223567.75 125810.75
## 1017 1018 1019 1020 1021 1022 1023 1024
## 122815.79 161903.26 117095.31 159864.47 127249.09 146010.64 112123.05 142164.67
## 1025 1026 1027 1028 1029 1030 1031 1032
## 122214.34 153430.54 224465.09 186015.44 161518.90 150879.90 104207.80 192836.21
## 1033 1034 1035 1036 1037 1038 1039 1040
## 181267.29 184748.54 123936.68 278095.20 144848.08 110894.41 99426.86 108630.75
## 1041 1042 1043 1044 1045 1046 1047 1048
## 130554.94 150034.02 105060.80 222643.92 226745.32 249773.32 305574.89 248468.36
## 1049 1050 1051 1052 1053 1054 1055 1056
## 210154.46 216196.26 178119.44 198952.11 215226.20 288031.20 147755.67 182383.18
## 1057 1058 1059 1060 1061 1062 1063 1064
## 138026.12 156093.82 210608.68 205682.79 193176.56 221185.01 127447.87 144288.45
## 1065 1066 1067 1068 1069 1070 1071 1072
## 146668.82 135476.17 139325.31 125094.26 142602.48 112623.04 230012.50 226188.08
## 1073 1074 1075 1076 1077 1078 1079 1080
## 193637.47 222631.72 296988.85 247155.80 216360.70 196616.27 188943.90 185874.05
## 1081 1082 1083 1084 1085 1086 1087 1088
## 191056.35 160983.41 113451.65 101409.51 154556.14 130967.02 139961.60 124967.56
## 1089 1090 1091 1092 1093 1094 1095 1096
## 151132.75 191364.20 125420.05 118882.11 94594.39 113116.22 140363.75 78454.99
## 1097 1098 1099 1100 1101 1102 1103 1104
## 95201.45 186334.60 139049.39 177384.55 171751.29 146187.14 154296.85 199360.09
## 1105 1106 1107 1108 1109 1110 1111 1112
## 155661.20 173791.13 142267.71 199133.84 202966.45 113971.95 176173.64 176248.41
## 1113 1114 1115 1116 1117 1118 1119 1120
## 223717.52 376371.16 114612.51 132339.89 196775.30 72798.56 55827.31 153270.30
## 1121 1122 1123 1124 1125 1126 1127 1128
## 105254.16 100753.95 309204.52 180898.90 165404.49 221932.37 194621.83 142978.87
## 1129 1130 1131 1132 1133 1134 1135 1136
## 153090.44 234404.26 273502.35 241759.19 277046.09 179525.21 205494.16 300494.68
## 1137 1138 1139 1140 1141 1142 1143 1144
## 184568.76 286851.50 323624.95 204015.44 183985.30 87465.57 86811.70 79726.96
## 1145 1146 1147 1148 1149 1150 1151 1152
## 89640.29 151597.16 193161.19 206169.04 141684.13 110862.67 89991.27 149083.31
## 1153 1154 1155 1156 1157 1158 1159 1160
## 131909.34 117076.35 162325.78 150483.40 158684.27 153934.53 185722.30 177714.07
## 1161 1162 1163 1164 1165 1166 1167 1168
## 174501.46 173365.30 239153.81 303241.06 344488.03 163414.62 172886.95 473661.44
## 1169 1170 1171 1172 1173 1174 1175 1176
## 508471.19 363667.65 462567.92 446028.71 298336.26 390961.65 161206.57 175069.37
## 1177 1178 1179 1180 1181 1182 1183 1184
## 171711.13 301015.80 200262.13 142865.09 119691.66 180979.90 109996.73 115474.53
## 1185 1186 1187 1188 1189 1190 1191 1192
## 98971.83 104049.48 99398.76 150121.91 144795.17 148497.31 139654.98 434212.18
## 1193 1194 1195 1196 1197 1198 1199 1200
## 308090.53 221874.61 380177.31 339933.02 358648.65 357495.78 313548.63 363609.49
## 1201 1202 1203 1204 1205 1206 1207 1208
## 361651.83 367239.29 300562.29 274134.44 376549.86 305161.45 179390.79 189288.13
## 1209 1210 1211 1212 1213 1214 1215 1216
## 167665.77 294854.17 189788.06 221122.96 219255.94 221792.60 167453.13 192363.02
## 1217 1218 1219 1220 1221 1222 1223 1224
## 181068.14 280789.56 259428.00 284695.98 400187.14 321360.52 546154.15 307936.70
## 1225 1226 1227 1228 1229 1230 1231 1232
## 362054.53 279357.72 304404.60 232298.52 208893.37 420532.81 196379.42 118991.02
## 1233 1234 1235 1236 1237 1238 1239 1240
## 186266.59 123009.80 184866.24 177692.75 166608.38 181568.67 189993.59 159474.44
## 1241 1242 1243 1244 1245 1246 1247 1248
## 148300.60 134060.05 165527.21 152378.50 113375.40 112669.89 140347.85 118087.60
## 1249 1250 1251 1252 1253 1254 1255 1256
## 104923.79 119074.61 421413.91 372008.03 160488.00 149539.68 164919.61 142478.09
## 1257 1258 1259 1260 1261 1262 1263 1264
## 205657.57 227343.63 162146.45 178245.57 140521.25 142639.98 153706.23 126057.46
## 1265 1266 1267 1268 1269 1270 1271 1272
## 132946.94 133743.76 182711.26 173411.05 138116.35 135352.58 140226.56 117335.69
## 1273 1274 1275 1276 1277 1278 1279 1280
## 158527.75 159959.78 131431.79 124129.94 116445.79 148558.19 171937.67 134545.69
## 1281 1282 1283 1284 1285 1286 1287 1288
## 133390.34 154581.42 138789.11 160945.04 150099.07 141301.61 163098.09 120254.42
## 1289 1290 1291 1292 1293 1294 1295 1296
## 119499.75 140372.76 138684.78 190797.92 154404.54 227178.16 138987.75 84619.99
## 1297 1298 1299 1300 1301 1302 1303 1304
## 88657.96 99204.53 123440.93 96107.60 149256.29 146238.43 196222.05 179424.30
## 1305 1306 1307 1308 1309 1310 1311 1312
## 218182.00 114391.03 101687.33 131479.39 116793.48 163276.37 122996.01 113927.23
## 1313 1314 1315 1316 1317 1318 1319 1320
## 133778.65 123531.09 90919.66 151048.08 138276.06 112813.76 103892.16 107595.24
## 1321 1322 1323 1324 1325 1326 1327 1328
## 93147.21 84488.48 62875.28 110315.95 98246.10 94399.19 118458.94 67103.89
## 1329 1330 1331 1332 1333 1334 1335 1336
## 134602.18 88029.21 107543.90 42707.66 172344.90 76274.60 109666.72 105131.46
## 1337 1338 1339 1340 1341 1342 1343 1344
## 220987.59 105605.48 109692.97 69660.18 94966.48 139678.90 184275.83 141937.66
## 1345 1346 1347 1348 1349 1350 1351 1352
## 106978.29 98929.85 168462.70 138085.81 145069.49 127159.59 167995.70 159090.74
## 1353 1354 1355 1356 1357 1358 1359 1360
## 164226.12 164217.41 111961.08 243904.26 142124.03 138163.26 224775.26 125178.78
## 1361 1362 1363 1364 1365 1366 1367 1368
## 104422.34 185131.18 113052.01 163506.67 155103.05 129870.08 133593.42 237218.58
## 1369 1370 1371 1372 1373 1374 1375 1376
## 217330.88 239582.83 165305.85 246061.76 273179.94 219205.36 211128.28 189613.35
## 1377 1378 1379 1380 1381 1382 1383 1384
## 178579.45 145989.76 181007.09 197951.81 194740.51 222886.51 137984.55 177279.69
## 1385 1386 1387 1388 1389 1390 1391 1392
## 114454.09 197247.64 189075.30 211980.27 211631.11 265734.12 242035.16 233096.58
## 1393 1394 1395 1396 1397 1398 1399 1400
## 238875.70 141704.04 203207.70 214568.93 189044.08 206706.14 134698.41 125604.14
## 1401 1402 1403 1404 1405 1406 1407 1408
## 129017.53 174989.31 123009.36 176852.11 142133.62 152410.83 74978.46 144412.26
## 1409 1410 1411 1412 1413 1414 1415 1416
## 114413.28 145467.54 86735.08 24369.74 119135.58 127476.65 125180.96 168402.49
## 1417 1418 1419 1420 1421 1422 1423 1424
## 111988.15 159713.61 124632.88 103310.37 162341.88 175646.30 187242.10 217138.04
## 1425 1426 1427 1428 1429 1430 1431 1432
## 184504.50 216127.48 108715.38 128898.57 60086.12 61963.19 154093.51 52289.91
## 1433 1434 1435 1436 1437 1438 1439 1440
## 109080.88 53242.60 350229.09 281697.37 189556.81 154743.02 197668.84 159906.99
## 1441 1442 1443 1444 1445 1446 1447 1448
## 39136.60 203538.20 315701.33 328143.85 92179.79 211194.30 115605.22 125426.56
## 1449 1450 1451 1452 1453 1454 1455 1456
## 147882.54 77671.09 87407.27 143439.28 92544.49 79817.32 81012.39 93144.96
## 1457 1458 1459
## 126589.80 111054.42 195262.98bw_submission = data.frame(Id= one_encode_test_data_q2$Id, SalePrice=bw_predictions)
bw_submission## Id SalePrice
## 1 1461 113715.15
## 2 1462 149365.41
## 3 1463 165609.85
## 4 1464 180813.88
## 5 1465 191126.38
## 6 1466 167983.68
## 7 1467 165331.39
## 8 1468 162322.71
## 9 1469 204526.64
## 10 1470 121066.68
## 11 1471 193820.30
## 12 1472 103791.04
## 13 1473 85971.59
## 14 1474 146301.75
## 15 1475 112857.03
## 16 1476 400216.25
## 17 1477 244683.23
## 18 1478 288371.79
## 19 1479 309735.82
## 20 1480 478915.75
## 21 1481 342285.59
## 22 1482 212931.52
## 23 1483 179052.51
## 24 1484 143491.88
## 25 1485 200937.93
## 26 1486 197724.11
## 27 1487 321311.21
## 28 1488 249070.18
## 29 1489 187494.23
## 30 1490 219116.88
## 31 1491 193819.43
## 32 1492 108778.87
## 33 1493 177902.27
## 34 1494 299497.57
## 35 1495 285021.16
## 36 1496 219029.70
## 37 1497 192594.15
## 38 1498 151108.77
## 39 1499 163374.75
## 40 1500 153203.27
## 41 1501 177717.82
## 42 1502 136520.22
## 43 1503 269711.83
## 44 1504 249544.76
## 45 1505 221930.35
## 46 1506 179692.50
## 47 1507 239067.80
## 48 1508 202833.85
## 49 1509 144820.04
## 50 1510 149715.12
## 51 1511 142703.67
## 52 1512 166183.86
## 53 1513 138375.53
## 54 1514 180925.14
## 55 1515 164203.17
## 56 1516 154673.89
## 57 1517 157883.64
## 58 1518 146003.31
## 59 1519 201110.75
## 60 1520 131030.69
## 61 1521 120388.27
## 62 1522 179512.96
## 63 1523 98913.55
## 64 1524 123340.82
## 65 1525 115926.19
## 66 1526 116565.86
## 67 1527 124566.08
## 68 1528 152045.13
## 69 1529 131564.57
## 70 1530 166258.69
## 71 1531 101796.30
## 72 1532 103651.96
## 73 1533 133050.68
## 74 1534 116932.48
## 75 1535 141825.09
## 76 1536 102288.24
## 77 1537 77392.33
## 78 1538 157276.89
## 79 1539 217289.68
## 80 1540 96162.85
## 81 1541 139032.55
## 82 1542 134927.14
## 83 1543 204572.57
## 84 1544 78073.62
## 85 1545 119010.78
## 86 1546 143191.18
## 87 1547 133299.83
## 88 1548 121375.22
## 89 1549 109178.05
## 90 1550 122337.57
## 91 1551 130451.43
## 92 1552 102922.95
## 93 1553 140318.73
## 94 1554 108831.05
## 95 1555 186100.00
## 96 1556 128870.79
## 97 1557 113586.56
## 98 1558 108994.78
## 99 1559 85021.68
## 100 1560 145843.20
## 101 1561 166265.82
## 102 1562 132608.66
## 103 1563 133498.70
## 104 1564 155638.87
## 105 1565 140736.77
## 106 1566 239775.84
## 107 1567 104834.25
## 108 1568 239591.92
## 109 1569 145848.46
## 110 1570 153611.16
## 111 1571 116659.76
## 112 1572 137485.32
## 113 1573 233090.20
## 114 1574 141972.17
## 115 1575 247864.83
## 116 1576 220419.88
## 117 1577 176642.49
## 118 1578 160956.55
## 119 1579 142167.60
## 120 1580 187995.80
## 121 1581 155004.82
## 122 1582 136093.97
## 123 1583 281640.81
## 124 1584 230913.33
## 125 1585 141704.04
## 126 1586 64867.03
## 127 1587 99180.75
## 128 1588 132077.61
## 129 1589 91134.34
## 130 1590 134387.16
## 131 1591 73256.49
## 132 1592 139991.10
## 133 1593 135581.57
## 134 1594 134309.36
## 135 1595 114396.64
## 136 1596 228502.73
## 137 1597 189049.46
## 138 1598 238588.56
## 139 1599 181480.77
## 140 1600 177951.86
## 141 1601 38980.25
## 142 1602 117174.60
## 143 1603 12840.36
## 144 1604 281696.05
## 145 1605 238458.31
## 146 1606 165451.97
## 147 1607 180492.66
## 148 1608 215112.99
## 149 1609 191504.59
## 150 1610 156298.74
## 151 1611 159288.03
## 152 1612 155569.90
## 153 1613 150971.36
## 154 1614 134113.82
## 155 1615 79671.58
## 156 1616 80907.45
## 157 1617 88590.68
## 158 1618 109950.16
## 159 1619 134598.50
## 160 1620 200765.14
## 161 1621 124888.02
## 162 1622 99799.29
## 163 1623 263650.96
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## 1450 2910 77671.09
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## 1452 2912 143439.28
## 1453 2913 92544.49
## 1454 2914 79817.32
## 1455 2915 81012.39
## 1456 2916 93144.96
## 1457 2917 126589.80
## 1458 2918 111054.42
## 1459 2919 195262.98#write_csv(bw_submission, "../kaggleData/backwardsSelectionPredictions.csv")
nrow(bw_submission)## [1] 1459sum(is.na(bw_submission))## [1] 0bw_submission_na <- bw_submission %>% filter_all(any_vars(is.na(.)))
bw_submission_na## [1] Id SalePrice
## <0 rows> (or 0-length row.names)bw_vif = VIF(bw_model)
c(bw_vif)## GrLivArea Neighborhood_Blmngtn
## 169.711817 501.085419
## Neighborhood_ClearCr Neighborhood_Crawfor
## 2.452681 1.660267
## Neighborhood_Edwards Neighborhood_Gilbert
## 1.954815 1.682847
## Neighborhood_IDOTRR Neighborhood_Mitchel
## 1.595351 1.707223
## Neighborhood_NAmes Neighborhood_NridgHt
## 2.404914 8.528848
## Neighborhood_NWAmes Neighborhood_OldTown
## 1.742246 1.724497
## Neighborhood_SawyerW Neighborhood_StoneBr
## 1.262879 2.498052
## Neighborhood_SWISU LotArea
## 3.618518 308.799025
## SaleCondition_Abnorml SaleCondition_Alloca
## 2.507058 1.536858
## SaleCondition_Family SaleCondition_Normal
## 1.644526 3.194496
## HouseStyle_1.5Unf HouseStyle_SFoyer
## 1.706572 2.010274
## KitchenQual_Ex KitchenQual_Gd
## 2.953246 2.408595
## YearRemodAdd GarageCars
## 2.367545 2.301345
## PoolArea Fireplaces
## 1.552491 1.750519
## BsmtFullBath BsmtHalfBath
## 1.438649 1.188072
## FullBath HalfBath
## 3.161928 2.423830
## BedroomAbvGr OverallQual
## 23.110253 3.619592
## GrLivArea2 X1stFlrSF
## 211.359262 4.470811
## GrLivArea:Neighborhood_ClearCr GrLivArea:Neighborhood_CollgCr
## 71.299884 2.449388
## GrLivArea:Neighborhood_Crawfor GrLivArea:Neighborhood_Edwards
## 38.007782 27.690761
## GrLivArea:Neighborhood_Gilbert GrLivArea:Neighborhood_MeadowV
## 1.429718 39.373727
## GrLivArea:Neighborhood_Mitchel GrLivArea:Neighborhood_NridgHt
## 1.775368 180.216182
## GrLivArea:Neighborhood_OldTown GrLivArea:Neighborhood_Sawyer
## 3.841193 2.021334
## GrLivArea:Neighborhood_SawyerW GrLivArea:Neighborhood_Somerst
## 27.531391 25.122317
## GrLivArea:Neighborhood_StoneBr GrLivArea:Neighborhood_Timber
## 81.939461 36.904369
## GrLivArea:SaleCondition_Abnorml GrLivArea:SaleCondition_Alloca
## 5.456025 100.997023
## GrLivArea:SaleCondition_Normal GrLivArea:HouseStyle_1.5Fin
## 26.086649 40.491096
## GrLivArea:HouseStyle_1Story GrLivArea:HouseStyle_2.5Unf
## 73.951846 1.721706
## GrLivArea:KitchenQual_Ex GrLivArea:KitchenQual_Gd
## 7.157464 3.542083
## Neighborhood_Blmngtn:GrLivArea2 Neighborhood_ClearCr:GrLivArea2
## 3.696635 61.264217
## Neighborhood_Crawfor:GrLivArea2 Neighborhood_Edwards:GrLivArea2
## 39.291865 37.327981
## GrLivArea2:Neighborhood_MeadowV Neighborhood_NAmes:GrLivArea2
## 35.467183 4.177225
## Neighborhood_NridgHt:GrLivArea2 Neighborhood_NWAmes:GrLivArea2
## 136.065588 1.494795
## Neighborhood_SawyerW:GrLivArea2 GrLivArea2:Neighborhood_Somerst
## 27.592667 26.196554
## Neighborhood_StoneBr:GrLivArea2 Neighborhood_SWISU:GrLivArea2
## 74.530029 5.945934
## GrLivArea2:Neighborhood_Timber SaleCondition_Alloca:GrLivArea2
## 36.123896 94.526492
## SaleCondition_Family:GrLivArea2 GrLivArea2:HouseStyle_1.5Fin
## 1.439987 49.517341
## HouseStyle_1.5Unf:GrLivArea2 GrLivArea2:HouseStyle_1Story
## 7.635311 69.723115
## GrLivArea2:HouseStyle_2Story Neighborhood_Blmngtn:LotArea
## 43.157961 470.772860
## Neighborhood_ClearCr:LotArea LotArea:Neighborhood_CollgCr
## 12.553615 1.889958
## Neighborhood_Crawfor:LotArea Neighborhood_Gilbert:LotArea
## 1.925866 1.332266
## Neighborhood_Mitchel:LotArea Neighborhood_NAmes:LotArea
## 1.566226 1.978038
## Neighborhood_NridgHt:LotArea Neighborhood_NWAmes:LotArea
## 2.277506 1.404868
## LotArea:Neighborhood_Sawyer Neighborhood_SWISU:LotArea
## 1.495581 3.448081
## LotArea:Neighborhood_Timber LotArea:Neighborhood_Veenker
## 18.572092 1.512909
## LotArea:SaleCondition_Abnorml LotArea:SaleCondition_Alloca
## 3.488133 3.032124
## LotArea:SaleCondition_Family LotArea:SaleCondition_Normal
## 1.313751 122.499905
## LotArea:HouseStyle_1.5Fin LotArea:HouseStyle_1Story
## 60.213260 91.379592
## LotArea:HouseStyle_2Story Neighborhood_Blmngtn:BedroomAbvGr
## 23.733360 10.815486
## Neighborhood_ClearCr:BedroomAbvGr BedroomAbvGr:Neighborhood_CollgCr
## 1.985115 2.522057
## Neighborhood_Edwards:BedroomAbvGr Neighborhood_IDOTRR:BedroomAbvGr
## 2.207872 1.562117
## Neighborhood_NAmes:BedroomAbvGr Neighborhood_NridgHt:BedroomAbvGr
## 2.675244 2.511836
## Neighborhood_OldTown:BedroomAbvGr BedroomAbvGr:Neighborhood_Sawyer
## 2.725649 1.541303
## Neighborhood_SawyerW:BedroomAbvGr BedroomAbvGr:Neighborhood_Somerst
## 2.551368 1.881083
## Neighborhood_SWISU:BedroomAbvGr SaleCondition_Abnorml:BedroomAbvGr
## 4.703909 3.552472
## SaleCondition_Normal:BedroomAbvGr HouseStyle_1.5Unf:BedroomAbvGr
## 14.593908 4.705889
## BedroomAbvGr:HouseStyle_2Story
## 3.158440# outliers list
outliers_forward = c(4, 54, 59, 66, 67, 70, 94, 119, 121, 138, 152, 154, 164, 179, 186, 209, 219, 239, 250, 252, 262, 305, 314, 321, 322, 331, 336, 337, 349, 350, 363, 384, 385, 401, 427, 439, 441, 474, 478, 497, 524, 528, 530, 560, 567, 569, 582, 584,
586, 589, 592, 598, 608, 622, 633, 636, 641, 643, 656, 662, 665, 682, 686, 689, 692, 703, 713, 725, 745, 770, 775, 779, 799, 804, 811, 813, 823, 826, 841, 876, 878, 886, 898, 899, 926, 940, 962, 971, 1018, 1025, 1032, 1045, 1047, 1049, 1063, 1066,
1069, 1128, 1143, 1156, 1169, 1170, 1174, 1176, 1182, 1183, 1217, 1268, 1269, 1285, 1299, 1311, 1323, 1325, 1327, 1329, 1360, 1387, 1389, 1397, 1416, 1424, 1441)
#outliers_forward = c(1047,770,1047,1424)
custom_train_data = data_train[!(data_train$Id %in% outliers_forward), ]
selected_features_q2 = c("GrLivArea", "Neighborhood", "LotArea", "YrSold", "SaleCondition", "HouseStyle", "KitchenQual", "YearRemodAdd","GarageCars", "Fireplaces","BsmtFullBath","BsmtHalfBath","FullBath","HalfBath","BedroomAbvGr","Remodel","OverallQual", "GrLivArea2","X1stFlrSF","X2ndFlrSF","PoolArea")
custom_train_data = custom_train_data %>% select(Id, selected_features_q2, SalePrice)
# 2.5Fin does not exist in test data so changing it to 1.5Unf
custom_train_data$HouseStyle = as.character(custom_train_data$HouseStyle)
custom_train_data = custom_train_data %>% mutate_at(vars(HouseStyle) , ~ifelse(.x=="2.5Fin","1.5Unf",.x ))
custom_train_data$HouseStyle = as.factor(custom_train_data$HouseStyle)
custom_train_data_process = preProcess(custom_train_data[,2:22], method=c("center", "scale"))
custom_train_data = predict(custom_train_data_process, custom_train_data)
custom_test_data = data_test %>% select(Id, selected_features_q2)
custom_test_data = predict(custom_train_data_process, custom_test_data)
custom_test_data$KitchenQual = as.character(custom_test_data$KitchenQual)
custom_test_data = custom_test_data %>% mutate_at(vars(KitchenQual) , ~ifelse(is.na(.x),"Ex",.x ))
custom_test_data$KitchenQual = as.factor(custom_test_data$KitchenQual)
# Inpute = NA in test data
custom_test_data= custom_test_data %>% mutate_at(vars(GarageCars),~ifelse(is.na(.x), median(.x, na.rm = TRUE), .x))
custom_test_data= custom_test_data %>% mutate_at(vars(BsmtFullBath),~ifelse(is.na(.x), median(.x, na.rm = TRUE), .x))
custom_test_data= custom_test_data %>% mutate_at(vars(BsmtHalfBath),~ifelse(is.na(.x), median(.x, na.rm = TRUE), .x))
one_encode_custom_train_data= one_hot(as.data.table(custom_train_data, dropUnusedLevels=TRUE))
one_encode_custom_test_data = one_hot(as.data.table(custom_test_data, dropUnusedLevels=TRUE))
#Refferences: Neighborhood_BrkSide KitchenQual_TA HouseStyle_SLvl SaleCondition_Partial
lm_fit_custom = lm(SalePrice ~.-SaleCondition_Partial-Id-HouseStyle_SLvl-Neighborhood_BrkSide-KitchenQual_TA+
(Neighborhood_Blmngtn+Neighborhood_Blueste+Neighborhood_BrDale+Neighborhood_ClearCr+Neighborhood_CollgCr+Neighborhood_Crawfor+Neighborhood_Edwards+Neighborhood_Gilbert+Neighborhood_IDOTRR+Neighborhood_MeadowV+Neighborhood_Mitchel+Neighborhood_NAmes+Neighborhood_NPkVill+Neighborhood_NridgHt+Neighborhood_NWAmes+Neighborhood_OldTown+Neighborhood_Sawyer+Neighborhood_SawyerW+Neighborhood_Somerst+Neighborhood_StoneBr+Neighborhood_SWISU+Neighborhood_Timber+Neighborhood_Veenker+SaleCondition_Abnorml+SaleCondition_AdjLand+SaleCondition_Alloca+SaleCondition_Family+SaleCondition_Normal+HouseStyle_1.5Fin+HouseStyle_1.5Unf+HouseStyle_1Story+HouseStyle_2.5Unf+HouseStyle_2Story+HouseStyle_SFoyer+KitchenQual_Ex+KitchenQual_Fa+KitchenQual_Gd )*GrLivArea +
(Neighborhood_Blmngtn+Neighborhood_BrDale+Neighborhood_ClearCr+Neighborhood_CollgCr+Neighborhood_Crawfor+Neighborhood_Edwards+Neighborhood_Gilbert+Neighborhood_IDOTRR+Neighborhood_MeadowV+Neighborhood_Mitchel+Neighborhood_NAmes+Neighborhood_NPkVill+Neighborhood_NridgHt+Neighborhood_NWAmes+Neighborhood_OldTown+Neighborhood_Sawyer+Neighborhood_SawyerW+Neighborhood_Somerst+Neighborhood_StoneBr+Neighborhood_SWISU+Neighborhood_Timber+Neighborhood_Veenker+SaleCondition_Abnorml+SaleCondition_AdjLand+SaleCondition_Alloca+SaleCondition_Family+SaleCondition_Normal+HouseStyle_1.5Fin+HouseStyle_1.5Unf+HouseStyle_1Story+HouseStyle_2.5Unf+HouseStyle_2Story+HouseStyle_SFoyer+KitchenQual_Ex+KitchenQual_Fa+KitchenQual_Gd)*GrLivArea2 +
(Neighborhood_Blmngtn+Neighborhood_BrDale+Neighborhood_ClearCr+Neighborhood_CollgCr+Neighborhood_Crawfor+Neighborhood_Edwards+Neighborhood_Gilbert+Neighborhood_IDOTRR+Neighborhood_MeadowV+Neighborhood_Mitchel+Neighborhood_NAmes+Neighborhood_NPkVill+Neighborhood_NridgHt+Neighborhood_NWAmes+Neighborhood_OldTown+Neighborhood_Sawyer+Neighborhood_SawyerW+Neighborhood_Somerst+Neighborhood_StoneBr+Neighborhood_SWISU+Neighborhood_Timber+Neighborhood_Veenker+SaleCondition_Abnorml+SaleCondition_AdjLand+SaleCondition_Alloca+SaleCondition_Family+SaleCondition_Normal+HouseStyle_1.5Fin+HouseStyle_1.5Unf+HouseStyle_1Story+HouseStyle_2.5Unf+HouseStyle_2Story+HouseStyle_SFoyer)*LotArea +
(Neighborhood_Blmngtn+Neighborhood_BrDale+Neighborhood_ClearCr+Neighborhood_CollgCr+Neighborhood_Crawfor+Neighborhood_Edwards+Neighborhood_Gilbert+Neighborhood_IDOTRR+Neighborhood_MeadowV+Neighborhood_Mitchel+Neighborhood_NAmes+Neighborhood_NPkVill+Neighborhood_NridgHt+Neighborhood_NWAmes+Neighborhood_OldTown+Neighborhood_Sawyer+Neighborhood_SawyerW+Neighborhood_Somerst+Neighborhood_StoneBr+Neighborhood_SWISU+Neighborhood_Timber+Neighborhood_Veenker+SaleCondition_Abnorml+SaleCondition_Alloca+SaleCondition_Family+SaleCondition_Normal+HouseStyle_1.5Fin+HouseStyle_1.5Unf+HouseStyle_1Story+HouseStyle_2.5Unf+HouseStyle_2Story+HouseStyle_SFoyer+KitchenQual_Ex+KitchenQual_Fa+KitchenQual_Gd ) * BedroomAbvGr
, data = one_encode_custom_train_data)
summary(lm_fit_custom)##
## Call:
## lm(formula = SalePrice ~ . - SaleCondition_Partial - Id - HouseStyle_SLvl -
## Neighborhood_BrkSide - KitchenQual_TA + (Neighborhood_Blmngtn +
## Neighborhood_Blueste + Neighborhood_BrDale + Neighborhood_ClearCr +
## Neighborhood_CollgCr + Neighborhood_Crawfor + Neighborhood_Edwards +
## Neighborhood_Gilbert + Neighborhood_IDOTRR + Neighborhood_MeadowV +
## Neighborhood_Mitchel + Neighborhood_NAmes + Neighborhood_NPkVill +
## Neighborhood_NridgHt + Neighborhood_NWAmes + Neighborhood_OldTown +
## Neighborhood_Sawyer + Neighborhood_SawyerW + Neighborhood_Somerst +
## Neighborhood_StoneBr + Neighborhood_SWISU + Neighborhood_Timber +
## Neighborhood_Veenker + SaleCondition_Abnorml + SaleCondition_AdjLand +
## SaleCondition_Alloca + SaleCondition_Family + SaleCondition_Normal +
## HouseStyle_1.5Fin + HouseStyle_1.5Unf + HouseStyle_1Story +
## HouseStyle_2.5Unf + HouseStyle_2Story + HouseStyle_SFoyer +
## KitchenQual_Ex + KitchenQual_Fa + KitchenQual_Gd) * GrLivArea +
## (Neighborhood_Blmngtn + Neighborhood_BrDale + Neighborhood_ClearCr +
## Neighborhood_CollgCr + Neighborhood_Crawfor + Neighborhood_Edwards +
## Neighborhood_Gilbert + Neighborhood_IDOTRR + Neighborhood_MeadowV +
## Neighborhood_Mitchel + Neighborhood_NAmes + Neighborhood_NPkVill +
## Neighborhood_NridgHt + Neighborhood_NWAmes + Neighborhood_OldTown +
## Neighborhood_Sawyer + Neighborhood_SawyerW + Neighborhood_Somerst +
## Neighborhood_StoneBr + Neighborhood_SWISU + Neighborhood_Timber +
## Neighborhood_Veenker + SaleCondition_Abnorml + SaleCondition_AdjLand +
## SaleCondition_Alloca + SaleCondition_Family + SaleCondition_Normal +
## HouseStyle_1.5Fin + HouseStyle_1.5Unf + HouseStyle_1Story +
## HouseStyle_2.5Unf + HouseStyle_2Story + HouseStyle_SFoyer +
## KitchenQual_Ex + KitchenQual_Fa + KitchenQual_Gd) * GrLivArea2 +
## (Neighborhood_Blmngtn + Neighborhood_BrDale + Neighborhood_ClearCr +
## Neighborhood_CollgCr + Neighborhood_Crawfor + Neighborhood_Edwards +
## Neighborhood_Gilbert + Neighborhood_IDOTRR + Neighborhood_MeadowV +
## Neighborhood_Mitchel + Neighborhood_NAmes + Neighborhood_NPkVill +
## Neighborhood_NridgHt + Neighborhood_NWAmes + Neighborhood_OldTown +
## Neighborhood_Sawyer + Neighborhood_SawyerW + Neighborhood_Somerst +
## Neighborhood_StoneBr + Neighborhood_SWISU + Neighborhood_Timber +
## Neighborhood_Veenker + SaleCondition_Abnorml + SaleCondition_AdjLand +
## SaleCondition_Alloca + SaleCondition_Family + SaleCondition_Normal +
## HouseStyle_1.5Fin + HouseStyle_1.5Unf + HouseStyle_1Story +
## HouseStyle_2.5Unf + HouseStyle_2Story + HouseStyle_SFoyer) *
## LotArea + (Neighborhood_Blmngtn + Neighborhood_BrDale +
## Neighborhood_ClearCr + Neighborhood_CollgCr + Neighborhood_Crawfor +
## Neighborhood_Edwards + Neighborhood_Gilbert + Neighborhood_IDOTRR +
## Neighborhood_MeadowV + Neighborhood_Mitchel + Neighborhood_NAmes +
## Neighborhood_NPkVill + Neighborhood_NridgHt + Neighborhood_NWAmes +
## Neighborhood_OldTown + Neighborhood_Sawyer + Neighborhood_SawyerW +
## Neighborhood_Somerst + Neighborhood_StoneBr + Neighborhood_SWISU +
## Neighborhood_Timber + Neighborhood_Veenker + SaleCondition_Abnorml +
## SaleCondition_Alloca + SaleCondition_Family + SaleCondition_Normal +
## HouseStyle_1.5Fin + HouseStyle_1.5Unf + HouseStyle_1Story +
## HouseStyle_2.5Unf + HouseStyle_2Story + HouseStyle_SFoyer +
## KitchenQual_Ex + KitchenQual_Fa + KitchenQual_Gd) * BedroomAbvGr,
## data = one_encode_custom_train_data)
##
## Residuals:
## Min 1Q Median 3Q Max
## -59624 -8810 0 9094 61584
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 180170.4 5322.5 33.851 < 2e-16 ***
## GrLivArea -19225.9 28099.3 -0.684 0.493980
## Neighborhood_Blmngtn -84278.1 101283.3 -0.832 0.405525
## Neighborhood_Blueste -20086.9 13495.3 -1.488 0.136912
## Neighborhood_BrDale 26800.0 197058.1 0.136 0.891845
## Neighborhood_ClearCr 3013.0 8101.3 0.372 0.710025
## Neighborhood_CollgCr 4431.3 3818.6 1.160 0.246108
## Neighborhood_Crawfor 13357.1 4745.8 2.814 0.004969 **
## Neighborhood_Edwards -22820.9 4143.2 -5.508 4.48e-08 ***
## Neighborhood_Gilbert 577.8 5256.4 0.110 0.912486
## Neighborhood_IDOTRR -8381.9 8122.7 -1.032 0.302330
## Neighborhood_MeadowV 14875.7 62015.3 0.240 0.810473
## Neighborhood_Mitchel -5676.5 4636.2 -1.224 0.221058
## Neighborhood_NAmes -12365.7 3556.1 -3.477 0.000525 ***
## Neighborhood_NoRidge 21182.6 8531.5 2.483 0.013175 *
## Neighborhood_NPkVill 577966.3 899428.3 0.643 0.520617
## Neighborhood_NridgHt 11187.3 8032.3 1.393 0.163953
## Neighborhood_NWAmes -6514.2 5319.8 -1.225 0.221008
## Neighborhood_OldTown -19269.0 3654.9 -5.272 1.61e-07 ***
## Neighborhood_Sawyer -13544.7 4656.4 -2.909 0.003698 **
## Neighborhood_SawyerW -5328.8 4256.7 -1.252 0.210877
## Neighborhood_Somerst 19427.1 6202.7 3.132 0.001780 **
## Neighborhood_StoneBr 34274.4 12128.2 2.826 0.004796 **
## Neighborhood_SWISU -11548.1 8386.5 -1.377 0.168790
## Neighborhood_Timber 5457.3 6555.0 0.833 0.405278
## Neighborhood_Veenker 30376.5 17108.5 1.776 0.076079 .
## LotArea 8449.8 7142.3 1.183 0.237030
## YrSold 216.9 484.8 0.447 0.654718
## SaleCondition_Abnorml -25221.8 3440.0 -7.332 4.29e-13 ***
## SaleCondition_AdjLand -1102878.5 1028087.9 -1.073 0.283612
## SaleCondition_Alloca -20848.4 10099.6 -2.064 0.039218 *
## SaleCondition_Family -16499.8 8005.8 -2.061 0.039532 *
## SaleCondition_Normal -11656.3 2849.4 -4.091 4.60e-05 ***
## HouseStyle_1.5Fin -5012.6 3706.1 -1.353 0.176474
## HouseStyle_1.5Unf -6258.1 11877.9 -0.527 0.598386
## HouseStyle_1Story 8197.3 3275.1 2.503 0.012457 *
## HouseStyle_2.5Unf 254.2 14733.0 0.017 0.986236
## HouseStyle_2Story -6062.2 4356.0 -1.392 0.164285
## HouseStyle_SFoyer 10276.5 15781.0 0.651 0.515052
## KitchenQual_Ex 19039.9 3990.0 4.772 2.06e-06 ***
## KitchenQual_Fa -5654.1 4185.9 -1.351 0.177045
## KitchenQual_Gd 6316.4 1540.5 4.100 4.42e-05 ***
## YearRemodAdd 4964.9 768.0 6.465 1.50e-10 ***
## GarageCars 5459.0 699.4 7.805 1.34e-14 ***
## Fireplaces 3236.9 612.6 5.284 1.51e-07 ***
## BsmtFullBath 6218.8 553.8 11.230 < 2e-16 ***
## BsmtHalfBath 2367.6 520.1 4.552 5.88e-06 ***
## FullBath 2777.8 924.4 3.005 0.002714 **
## HalfBath 3634.6 785.5 4.627 4.14e-06 ***
## BedroomAbvGr -14074.2 5894.2 -2.388 0.017111 *
## Remodel -126.5 613.0 -0.206 0.836533
## OverallQual 13909.4 894.3 15.553 < 2e-16 ***
## GrLivArea2 40928.4 26916.1 1.521 0.128640
## X1stFlrSF 7311.9 5059.2 1.445 0.148656
## X2ndFlrSF 5627.1 5768.4 0.975 0.329523
## PoolArea 357.2 570.2 0.626 0.531184
## GrLivArea:Neighborhood_Blmngtn 289176.0 417184.3 0.693 0.488350
## GrLivArea:Neighborhood_Blueste -8356.5 31523.6 -0.265 0.790990
## GrLivArea:Neighborhood_BrDale -571189.1 761539.5 -0.750 0.453382
## GrLivArea:Neighborhood_ClearCr -6805.4 53675.4 -0.127 0.899130
## GrLivArea:Neighborhood_CollgCr -13928.2 14185.5 -0.982 0.326376
## GrLivArea:Neighborhood_Crawfor 1256.2 20273.0 0.062 0.950603
## GrLivArea:Neighborhood_Edwards -12762.2 18497.7 -0.690 0.490377
## GrLivArea:Neighborhood_Gilbert -48176.1 26531.1 -1.816 0.069659 .
## GrLivArea:Neighborhood_IDOTRR -6763.9 30670.1 -0.221 0.825494
## GrLivArea:Neighborhood_MeadowV -74429.8 96048.5 -0.775 0.438548
## GrLivArea:Neighborhood_Mitchel -37517.0 27291.3 -1.375 0.169498
## GrLivArea:Neighborhood_NAmes -28505.8 12256.3 -2.326 0.020203 *
## GrLivArea:Neighborhood_NPkVill 1184978.0 1913858.3 0.619 0.535937
## GrLivArea:Neighborhood_NridgHt 27609.5 35085.4 0.787 0.431490
## GrLivArea:Neighborhood_NWAmes -6661.4 22242.4 -0.299 0.764620
## GrLivArea:Neighborhood_OldTown -9722.7 13053.4 -0.745 0.456520
## GrLivArea:Neighborhood_Sawyer -34800.6 16851.1 -2.065 0.039132 *
## GrLivArea:Neighborhood_SawyerW -21222.3 17137.6 -1.238 0.215841
## GrLivArea:Neighborhood_Somerst -29641.6 32167.3 -0.921 0.356993
## GrLivArea:Neighborhood_StoneBr -104144.7 88638.7 -1.175 0.240266
## GrLivArea:Neighborhood_SWISU -27668.4 18739.7 -1.476 0.140097
## GrLivArea:Neighborhood_Timber -11818.0 32018.2 -0.369 0.712120
## GrLivArea:Neighborhood_Veenker -256457.4 182591.5 -1.405 0.160430
## GrLivArea:SaleCondition_Abnorml 18005.0 21240.4 0.848 0.396798
## GrLivArea:SaleCondition_AdjLand 3269972.5 3008026.3 1.087 0.277230
## GrLivArea:SaleCondition_Alloca -109781.9 69193.0 -1.587 0.112880
## GrLivArea:SaleCondition_Family 51520.6 42500.2 1.212 0.225670
## GrLivArea:SaleCondition_Normal 25122.0 18781.3 1.338 0.181291
## GrLivArea:HouseStyle_1.5Fin 17975.9 18948.6 0.949 0.342990
## GrLivArea:HouseStyle_1.5Unf 37094.9 54026.1 0.687 0.492467
## GrLivArea:HouseStyle_1Story 15637.7 17178.1 0.910 0.362841
## GrLivArea:HouseStyle_2.5Unf 14932.7 80012.6 0.187 0.851985
## GrLivArea:HouseStyle_2Story 23443.2 18715.5 1.253 0.210605
## GrLivArea:HouseStyle_SFoyer 18441.4 54154.8 0.341 0.733520
## GrLivArea:KitchenQual_Ex -8003.5 15024.4 -0.533 0.594343
## GrLivArea:KitchenQual_Fa -27829.7 16870.8 -1.650 0.099304 .
## GrLivArea:KitchenQual_Gd -10325.3 8416.3 -1.227 0.220139
## Neighborhood_Blmngtn:GrLivArea2 -334818.2 491881.8 -0.681 0.496207
## Neighborhood_BrDale:GrLivArea2 781652.4 1041415.6 0.751 0.453068
## Neighborhood_ClearCr:GrLivArea2 -838.7 51555.5 -0.016 0.987023
## Neighborhood_CollgCr:GrLivArea2 6365.5 13989.8 0.455 0.649189
## Neighborhood_Crawfor:GrLivArea2 -939.1 17956.9 -0.052 0.958301
## Neighborhood_Edwards:GrLivArea2 -11362.9 20673.4 -0.550 0.582675
## Neighborhood_Gilbert:GrLivArea2 40480.4 24389.0 1.660 0.097234 .
## Neighborhood_IDOTRR:GrLivArea2 4790.9 41682.7 0.115 0.908515
## Neighborhood_MeadowV:GrLivArea2 97207.2 123898.5 0.785 0.432868
## Neighborhood_Mitchel:GrLivArea2 31610.5 31099.1 1.016 0.309634
## Neighborhood_NAmes:GrLivArea2 6968.1 12271.7 0.568 0.570271
## Neighborhood_NPkVill:GrLivArea2 -1355841.2 2156005.1 -0.629 0.529562
## Neighborhood_NridgHt:GrLivArea2 -25531.3 29125.8 -0.877 0.380896
## Neighborhood_NWAmes:GrLivArea2 2157.5 19321.9 0.112 0.911113
## Neighborhood_OldTown:GrLivArea2 -4111.4 12654.2 -0.325 0.745317
## Neighborhood_Sawyer:GrLivArea2 17661.5 17522.4 1.008 0.313698
## Neighborhood_SawyerW:GrLivArea2 16620.1 16515.9 1.006 0.314479
## Neighborhood_Somerst:GrLivArea2 32317.7 29857.1 1.082 0.279299
## Neighborhood_StoneBr:GrLivArea2 124536.1 91494.5 1.361 0.173741
## Neighborhood_SWISU:GrLivArea2 15636.5 18782.3 0.833 0.405294
## Neighborhood_Timber:GrLivArea2 23552.6 27736.9 0.849 0.395980
## Neighborhood_Veenker:GrLivArea2 262361.0 179884.0 1.459 0.144978
## SaleCondition_Abnorml:GrLivArea2 -33107.9 20392.8 -1.624 0.104758
## SaleCondition_AdjLand:GrLivArea2 -4864591.2 4493353.5 -1.083 0.279206
## SaleCondition_Alloca:GrLivArea2 73161.7 51227.0 1.428 0.153513
## SaleCondition_Family:GrLivArea2 -73256.0 39430.5 -1.858 0.063448 .
## SaleCondition_Normal:GrLivArea2 -36122.4 17550.3 -2.058 0.039795 *
## HouseStyle_1.5Fin:GrLivArea2 -10208.9 18093.3 -0.564 0.572705
## HouseStyle_1.5Unf:GrLivArea2 -39726.5 57953.8 -0.685 0.493177
## HouseStyle_1Story:GrLivArea2 629.7 16939.0 0.037 0.970352
## HouseStyle_2.5Unf:GrLivArea2 -24503.0 76686.1 -0.320 0.749389
## HouseStyle_2Story:GrLivArea2 -18227.2 17178.3 -1.061 0.288886
## HouseStyle_SFoyer:GrLivArea2 -1568.1 73906.5 -0.021 0.983076
## KitchenQual_Ex:GrLivArea2 26456.1 14264.5 1.855 0.063901 .
## KitchenQual_Fa:GrLivArea2 30788.1 20428.9 1.507 0.132066
## KitchenQual_Gd:GrLivArea2 20179.6 8638.5 2.336 0.019663 *
## Neighborhood_Blmngtn:LotArea -38075.1 75021.4 -0.508 0.611887
## Neighborhood_BrDale:LotArea -69701.5 174822.5 -0.399 0.690190
## Neighborhood_ClearCr:LotArea 1019.6 3793.2 0.269 0.788132
## Neighborhood_CollgCr:LotArea 1404.2 5393.7 0.260 0.794649
## Neighborhood_Crawfor:LotArea -3971.4 4840.3 -0.820 0.412108
## Neighborhood_Edwards:LotArea 8203.2 4796.5 1.710 0.087496 .
## Neighborhood_Gilbert:LotArea -909.6 4083.8 -0.223 0.823780
## Neighborhood_IDOTRR:LotArea 3199.5 7081.6 0.452 0.651492
## Neighborhood_MeadowV:LotArea 10669.2 36136.2 0.295 0.767857
## Neighborhood_Mitchel:LotArea -936.7 4403.4 -0.213 0.831587
## Neighborhood_NAmes:LotArea 1516.3 4288.7 0.354 0.723736
## Neighborhood_NPkVill:LotArea 577469.3 882719.1 0.654 0.513119
## Neighborhood_NridgHt:LotArea 32676.6 6850.5 4.770 2.08e-06 ***
## Neighborhood_NWAmes:LotArea 1315.5 5678.2 0.232 0.816827
## Neighborhood_OldTown:LotArea 3870.6 4864.0 0.796 0.426329
## Neighborhood_Sawyer:LotArea -4298.9 5238.2 -0.821 0.411995
## Neighborhood_SawyerW:LotArea 1297.5 7521.5 0.173 0.863071
## Neighborhood_Somerst:LotArea 12493.8 5048.6 2.475 0.013480 *
## Neighborhood_StoneBr:LotArea 14213.4 9694.8 1.466 0.142899
## Neighborhood_SWISU:LotArea 12344.1 16615.3 0.743 0.457673
## Neighborhood_Timber:LotArea -4397.3 4777.7 -0.920 0.357564
## Neighborhood_Veenker:LotArea -20402.6 16624.3 -1.227 0.219972
## LotArea:SaleCondition_Abnorml -5012.2 4896.8 -1.024 0.306254
## LotArea:SaleCondition_AdjLand 29487.3 57438.3 0.513 0.607790
## LotArea:SaleCondition_Alloca 23340.2 20633.9 1.131 0.258226
## LotArea:SaleCondition_Family -13619.4 17342.1 -0.785 0.432420
## LotArea:SaleCondition_Normal 1269.2 4070.9 0.312 0.755261
## LotArea:HouseStyle_1.5Fin -4060.9 5321.1 -0.763 0.445515
## LotArea:HouseStyle_1.5Unf -13311.1 17808.4 -0.747 0.454938
## LotArea:HouseStyle_1Story -6975.1 4774.0 -1.461 0.144278
## LotArea:HouseStyle_2.5Unf 14793.3 24039.4 0.615 0.538428
## LotArea:HouseStyle_2Story -2659.5 4971.6 -0.535 0.592789
## LotArea:HouseStyle_SFoyer -10006.5 10927.2 -0.916 0.359994
## Neighborhood_Blmngtn:BedroomAbvGr 13849.6 11191.2 1.238 0.216141
## Neighborhood_BrDale:BedroomAbvGr 16729.8 18655.4 0.897 0.370025
## Neighborhood_ClearCr:BedroomAbvGr -812.4 3967.1 -0.205 0.837781
## Neighborhood_CollgCr:BedroomAbvGr 6306.2 3782.9 1.667 0.095789 .
## Neighborhood_Crawfor:BedroomAbvGr -4156.5 4376.4 -0.950 0.342448
## Neighborhood_Edwards:BedroomAbvGr 6366.6 3795.6 1.677 0.093747 .
## Neighborhood_Gilbert:BedroomAbvGr -1132.5 5132.9 -0.221 0.825416
## Neighborhood_IDOTRR:BedroomAbvGr 2998.0 6157.8 0.487 0.626449
## Neighborhood_MeadowV:BedroomAbvGr 6329.4 15735.2 0.402 0.687580
## Neighborhood_Mitchel:BedroomAbvGr -1304.2 3900.5 -0.334 0.738168
## Neighborhood_NAmes:BedroomAbvGr 7311.3 3259.3 2.243 0.025076 *
## Neighborhood_NPkVill:BedroomAbvGr 57897.2 75192.5 0.770 0.441468
## Neighborhood_NridgHt:BedroomAbvGr -11189.7 5185.3 -2.158 0.031138 *
## Neighborhood_NWAmes:BedroomAbvGr -2706.8 4756.9 -0.569 0.569451
## Neighborhood_OldTown:BedroomAbvGr 807.4 3535.8 0.228 0.819422
## Neighborhood_Sawyer:BedroomAbvGr 5923.8 4109.4 1.442 0.149708
## Neighborhood_SawyerW:BedroomAbvGr 2440.7 5155.6 0.473 0.636020
## Neighborhood_Somerst:BedroomAbvGr 4494.6 4682.0 0.960 0.337271
## Neighborhood_StoneBr:BedroomAbvGr 4615.0 6483.1 0.712 0.476702
## Neighborhood_SWISU:BedroomAbvGr 8484.2 5318.8 1.595 0.110958
## Neighborhood_Timber:BedroomAbvGr -9238.6 5517.2 -1.675 0.094302 .
## Neighborhood_Veenker:BedroomAbvGr -23486.3 11132.3 -2.110 0.035098 *
## SaleCondition_Abnorml:BedroomAbvGr 4995.4 3980.2 1.255 0.209712
## SaleCondition_Alloca:BedroomAbvGr 13356.9 7593.9 1.759 0.078862 .
## SaleCondition_Family:BedroomAbvGr 4635.4 9052.0 0.512 0.608687
## SaleCondition_Normal:BedroomAbvGr 5489.6 3331.8 1.648 0.099703 .
## HouseStyle_1.5Fin:BedroomAbvGr 5579.8 4312.4 1.294 0.195963
## HouseStyle_1.5Unf:BedroomAbvGr 11951.6 11052.1 1.081 0.279754
## HouseStyle_1Story:BedroomAbvGr 4837.5 3870.1 1.250 0.211571
## HouseStyle_2.5Unf:BedroomAbvGr 8306.5 6402.4 1.297 0.194753
## HouseStyle_2Story:BedroomAbvGr 5721.5 4141.0 1.382 0.167343
## HouseStyle_SFoyer:BedroomAbvGr 6314.2 5506.0 1.147 0.251709
## KitchenQual_Ex:BedroomAbvGr -7232.0 3489.9 -2.072 0.038463 *
## KitchenQual_Fa:BedroomAbvGr -1357.5 4516.6 -0.301 0.763805
## KitchenQual_Gd:BedroomAbvGr -2042.2 1813.2 -1.126 0.260285
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 16150 on 1140 degrees of freedom
## Multiple R-squared: 0.9453, Adjusted R-squared: 0.9359
## F-statistic: 100.5 on 196 and 1140 DF, p-value: < 2.2e-16ols_press(lm_fit_custom)## [1] Infcustom_train_data_outliers = data_train[(data_train$Id %in% outliers_forward), ]
#custom_train_data_outliers
hist(custom_train_data_outliers$SalePrice)
hist(one_encode_custom_train_data$SalePrice)
custom_fit = ols_step_forward_p(lm_fit_custom, penter=0.05, details = F)
custom_fit##
## Selection Summary
## ----------------------------------------------------------------------------------------------------------
## Variable Adj.
## Step Entered R-Square R-Square C(p) AIC RMSE
## ----------------------------------------------------------------------------------------------------------
## 1 OverallQual 0.6537 0.6534 5883.5150 31964.5900 37549.4611
## 2 GrLivArea2 0.7540 0.7537 3794.1994 31509.0650 31656.1468
## 3 X1stFlrSF 0.7968 0.7963 2905.8981 31255.9518 28786.3758
## 4 GarageCars 0.8188 0.8183 2448.4557 31104.4131 27190.2474
## 5 BsmtFullBath 0.8350 0.8344 2113.5439 30981.4397 25958.4551
## 6 KitchenQual_Ex 0.8485 0.8478 1833.8139 30869.1465 24881.6544
## 7 YearRemodAdd 0.8604 0.8597 1587.1350 30761.4440 23890.5075
## 8 Neighborhood_OldTown 0.8689 0.8681 1412.2581 30679.5477 23161.2990
## 9 LotArea 0.8760 0.8752 1266.5474 30607.2119 22534.7810
## 10 Neighborhood_OldTown:GrLivArea2 0.8817 0.8808 1149.7371 30546.2683 22018.8241
## 11 Neighborhood_NAmes:GrLivArea2 0.8891 0.8882 996.9927 30461.5762 21324.4556
## 12 Neighborhood_NAmes 0.8918 0.8908 943.8433 30431.2690 21076.3195
## 13 Neighborhood_NWAmes 0.8932 0.8921 917.2117 30416.1833 20949.9934
## 14 Fireplaces 0.8954 0.8943 871.9849 30389.5151 20734.4233
## 15 Neighborhood_Somerst 0.8973 0.8961 835.0573 30367.4136 20556.1544
## 16 Neighborhood_SWISU 0.8982 0.8970 817.7085 30357.2705 20470.7668
## 17 BsmtHalfBath 0.8987 0.8973 810.7671 30353.6215 20435.3083
## 18 SaleCondition_Alloca 0.8994 0.8980 797.4568 30345.8929 20368.8185
## 19 HalfBath 0.9001 0.8986 785.5329 30338.9834 20308.7704
## 20 X2ndFlrSF 0.9007 0.8992 774.4498 30332.5575 20252.5676
## 21 SaleCondition_Abnorml 0.9040 0.9025 707.1991 30289.0513 19918.3938
## 22 SaleCondition_Normal 0.9068 0.9052 651.2306 30251.7306 19635.1080
## 23 Neighborhood_CollgCr 0.9071 0.9055 646.0686 30248.7913 19606.3340
## 24 Neighborhood_NridgHt 0.9106 0.9089 576.2737 30200.2424 19246.5103
## 25 Neighborhood_StoneBr 0.9125 0.9108 538.8059 30173.6178 19048.8404
## 26 YrSold 0.9126 0.9109 538.2583 30173.7489 19042.7955
## 27 FullBath 0.9127 0.9109 538.8387 30174.7063 19042.6420
## 28 HouseStyle_1.5Unf 0.9128 0.9109 538.4588 30174.9567 19037.4597
## 29 SaleCondition_AdjLand 0.9130 0.9110 536.3215 30173.9097 19023.0519
## 30 Neighborhood_ClearCr 0.9130 0.9110 537.7296 30175.4732 19027.2271
## 31 Neighborhood_SawyerW 0.9131 0.9110 538.5585 30176.6091 19028.3664
## 32 Neighborhood_Gilbert 0.9131 0.9110 539.0521 30177.4969 19027.7453
## 33 HouseStyle_2Story 0.9132 0.9110 540.3885 30179.0066 19031.5554
## 34 Neighborhood_Veenker 0.9135 0.9113 535.1362 30175.6370 19000.6693
## 35 HouseStyle_2.5Unf 0.9135 0.9112 536.8328 30177.4119 19006.3702
## 36 Neighborhood_Blueste 0.9136 0.9112 537.4703 30178.4005 19006.4888
## 37 Neighborhood_NPkVill 0.9136 0.9112 538.9505 30180.0144 19011.0580
## 38 KitchenQual_Fa 0.9136 0.9111 540.9454 30182.0107 19018.3531
## 39 Neighborhood_Blmngtn 0.9137 0.9111 542.1409 30183.4130 19021.4310
## 40 Remodel 0.9137 0.9110 543.1161 30184.6511 19023.3475
## 41 HouseStyle_SFoyer 0.9138 0.9111 543.4658 30185.4235 19021.9563
## 42 Neighborhood_Timber 0.9139 0.9111 543.5488 30185.9960 19019.1488
## 43 Neighborhood_MeadowV 0.9139 0.9110 544.9032 30187.5149 19023.0794
## 44 SaleCondition_Family 0.9145 0.9116 535.1206 30180.7044 18967.8398
## 45 Neighborhood_Mitchel 0.9145 0.9116 535.7699 30181.6906 18967.9922
## 46 Neighborhood_IDOTRR 0.9147 0.9116 535.1420 30181.7162 18961.3366
## 47 HouseStyle_1.5Fin 0.9148 0.9117 534.3810 30181.6385 18953.9575
## 48 Neighborhood_BrDale 0.9150 0.9118 532.0362 30180.3626 18938.0987
## 49 HouseStyle_1Story 0.9151 0.9118 532.7234 30181.3712 18938.4316
## 50 KitchenQual_Gd 0.9157 0.9124 521.7804 30173.5569 18876.3854
## 51 Neighborhood_Sawyer 0.9160 0.9127 516.4024 30169.9301 18844.0340
## 52 BedroomAbvGr 0.9163 0.9129 514.0782 30168.6212 18828.0574
## 53 GrLivArea 0.9166 0.9131 509.2254 30165.3606 18798.3749
## 54 Neighborhood_Crawfor 0.9174 0.9140 493.3680 30153.5540 18708.8564
## 55 PoolArea 0.9174 0.9139 495.1944 30155.4192 18715.2136
## 56 Neighborhood_Edwards 0.9202 0.9167 439.6340 30111.9153 18406.6147
## 57 Neighborhood_NoRidge 0.9219 0.9184 406.2572 30085.1602 18216.8552
## 58 Neighborhood_NridgHt:LotArea 0.9239 0.9205 366.5144 30052.4156 17988.7194
## 59 GrLivArea:Neighborhood_Somerst 0.9261 0.9226 323.7637 30016.1364 17739.9809
## 60 HouseStyle_1Story:GrLivArea2 0.9277 0.9243 291.6698 29988.2191 17549.4815
## 61 Neighborhood_Sawyer:GrLivArea2 0.9293 0.9259 260.5156 29960.4700 17362.1243
## 62 Neighborhood_Edwards:GrLivArea2 0.9308 0.9274 230.6602 29933.2488 17180.1647
## 63 Neighborhood_NridgHt:BedroomAbvGr 0.9319 0.9285 210.7754 29914.7972 17055.9616
## 64 Neighborhood_StoneBr:GrLivArea2 0.9328 0.9294 193.2972 29898.3276 16945.2168
## 65 GrLivArea:KitchenQual_Gd 0.9335 0.9301 180.4114 29886.0386 16861.5378
## 66 KitchenQual_Ex:GrLivArea2 0.9347 0.9313 158.0159 29864.2859 16719.0012
## 67 LotArea:SaleCondition_Abnorml 0.9353 0.9319 146.2512 29852.6952 16640.7948
## 68 LotArea:HouseStyle_1Story 0.9359 0.9325 136.2766 29842.7585 16573.2077
## 69 Neighborhood_NAmes:BedroomAbvGr 0.9363 0.9329 129.7217 29836.1650 16526.5494
## 70 SaleCondition_Alloca:GrLivArea2 0.9366 0.9331 125.0550 29831.4298 16491.4841
## 71 KitchenQual_Ex:BedroomAbvGr 0.9370 0.9334 120.2989 29826.5693 16455.7282
## 72 SaleCondition_Family:BedroomAbvGr 0.9373 0.9337 115.5978 29821.7299 16420.1836
## 73 Neighborhood_Veenker:BedroomAbvGr 0.9376 0.9340 110.9364 29816.8960 16384.7552
## 74 KitchenQual_Gd:GrLivArea2 0.9379 0.9343 106.4679 29812.2265 16350.4134
## 75 Neighborhood_Somerst:LotArea 0.9382 0.9346 101.9113 29807.4320 16315.3857
## 76 Neighborhood_Edwards:LotArea 0.9385 0.9348 97.9236 29803.1968 16283.8438
## 77 Neighborhood_StoneBr:LotArea 0.9388 0.9350 94.8681 29799.9095 16258.1308
## 78 KitchenQual_Gd:BedroomAbvGr 0.9390 0.9352 92.3835 29797.2017 16235.9814
## 79 Neighborhood_CollgCr:BedroomAbvGr 0.9393 0.9355 87.3813 29791.8178 16197.6488
## 80 Neighborhood_Timber:GrLivArea2 0.9396 0.9357 84.4001 29788.5401 16172.1452
## 81 Neighborhood_Timber:BedroomAbvGr 0.9397 0.9359 82.4780 29786.3698 16153.3748
## ----------------------------------------------------------------------------------------------------------outliers_forward## [1] 4 54 59 66 67 70 94 119 121 138 152 154 164 179 186
## [16] 209 219 239 250 252 262 305 314 321 322 331 336 337 349 350
## [31] 363 384 385 401 427 439 441 474 478 497 524 528 530 560 567
## [46] 569 582 584 586 589 592 598 608 622 633 636 641 643 656 662
## [61] 665 682 686 689 692 703 713 725 745 770 775 779 799 804 811
## [76] 813 823 826 841 876 878 886 898 899 926 940 962 971 1018 1025
## [91] 1032 1045 1047 1049 1063 1066 1069 1128 1143 1156 1169 1170 1174 1176 1182
## [106] 1183 1217 1268 1269 1285 1299 1311 1323 1325 1327 1329 1360 1387 1389 1397
## [121] 1416 1424 1441custom_model = custom_fit$model
ols_press(custom_model)## [1] 440336132483formatC(ols_press(custom_model), format = "e", digits = 6)## [1] "4.403361e+11"summary(custom_model)##
## Call:
## lm(formula = paste(response, "~", paste(preds, collapse = " + ")),
## data = l)
##
## Residuals:
## Min 1Q Median 3Q Max
## -61121 -9527 61 10020 56416
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 179953.8 4108.2 43.803 < 2e-16 ***
## OverallQual 14228.6 824.2 17.264 < 2e-16 ***
## GrLivArea2 10338.9 4975.7 2.078 0.037923 *
## X1stFlrSF 7709.7 4147.6 1.859 0.063283 .
## GarageCars 5627.9 634.8 8.866 < 2e-16 ***
## BsmtFullBath 6680.9 514.5 12.986 < 2e-16 ***
## KitchenQual_Ex 19360.8 3538.2 5.472 5.37e-08 ***
## YearRemodAdd 5229.3 717.3 7.290 5.47e-13 ***
## Neighborhood_OldTown -18923.2 2812.2 -6.729 2.59e-11 ***
## LotArea 7101.4 1164.9 6.096 1.45e-09 ***
## Neighborhood_NAmes -10660.6 2850.6 -3.740 0.000192 ***
## Neighborhood_NWAmes -6015.4 3573.8 -1.683 0.092588 .
## Fireplaces 3234.3 573.3 5.642 2.08e-08 ***
## Neighborhood_Somerst 14706.8 4220.9 3.484 0.000510 ***
## Neighborhood_SWISU -10917.7 4497.4 -2.428 0.015341 *
## BsmtHalfBath 2407.1 477.9 5.037 5.41e-07 ***
## SaleCondition_Alloca -28567.6 6468.3 -4.417 1.09e-05 ***
## HalfBath 3349.2 726.0 4.613 4.37e-06 ***
## X2ndFlrSF 4914.6 4910.5 1.001 0.317101
## SaleCondition_Abnorml -26225.7 2701.0 -9.709 < 2e-16 ***
## SaleCondition_Normal -13261.4 2031.8 -6.527 9.72e-11 ***
## Neighborhood_CollgCr 5351.4 3166.5 1.690 0.091273 .
## Neighborhood_NridgHt 20831.1 4136.4 5.036 5.45e-07 ***
## Neighborhood_StoneBr 23910.2 7535.4 3.173 0.001545 **
## YrSold 241.5 464.2 0.520 0.602958
## FullBath 2482.2 789.4 3.145 0.001703 **
## HouseStyle_1.5Unf -6726.8 5126.0 -1.312 0.189660
## SaleCondition_AdjLand -17855.1 8779.7 -2.034 0.042195 *
## Neighborhood_ClearCr 4291.5 5036.5 0.852 0.394335
## Neighborhood_SawyerW -4718.2 3600.5 -1.310 0.190284
## Neighborhood_Gilbert -2964.4 3571.4 -0.830 0.406677
## HouseStyle_2Story -3140.3 3467.4 -0.906 0.365287
## Neighborhood_Veenker 9780.1 7030.6 1.391 0.164449
## HouseStyle_2.5Unf -6074.0 6587.8 -0.922 0.356701
## Neighborhood_Blueste -16382.5 11932.6 -1.373 0.170024
## Neighborhood_NPkVill -7873.0 6247.2 -1.260 0.207814
## KitchenQual_Fa -4330.3 2982.7 -1.452 0.146799
## Neighborhood_Blmngtn -10333.9 5587.6 -1.849 0.064629 .
## Remodel -571.7 579.3 -0.987 0.323873
## HouseStyle_SFoyer -1508.5 3834.1 -0.393 0.694065
## Neighborhood_Timber 4804.7 4460.3 1.077 0.281594
## Neighborhood_MeadowV -14944.7 5153.7 -2.900 0.003799 **
## SaleCondition_Family -11047.5 5454.1 -2.026 0.043024 *
## Neighborhood_Mitchel -3993.2 3558.6 -1.122 0.262020
## Neighborhood_IDOTRR -10162.2 3485.8 -2.915 0.003616 **
## HouseStyle_1.5Fin -2592.6 3170.4 -0.818 0.413663
## Neighborhood_BrDale -18381.7 5350.4 -3.436 0.000611 ***
## HouseStyle_1Story 7343.4 2627.6 2.795 0.005274 **
## KitchenQual_Gd 5945.4 1413.4 4.207 2.78e-05 ***
## Neighborhood_Sawyer -11726.6 3603.8 -3.254 0.001168 **
## BedroomAbvGr -995.4 885.3 -1.124 0.261081
## GrLivArea -297.4 6980.1 -0.043 0.966022
## Neighborhood_Crawfor 15736.8 3580.5 4.395 1.20e-05 ***
## PoolArea 468.1 497.4 0.941 0.346881
## Neighborhood_Edwards -18433.1 3292.1 -5.599 2.64e-08 ***
## Neighborhood_NoRidge 25487.9 4608.1 5.531 3.87e-08 ***
## GrLivArea2:Neighborhood_OldTown -9818.3 1863.7 -5.268 1.62e-07 ***
## GrLivArea2:Neighborhood_NAmes -16323.9 1880.8 -8.679 < 2e-16 ***
## LotArea:Neighborhood_NridgHt 38169.3 5283.6 7.224 8.73e-13 ***
## Neighborhood_Somerst:GrLivArea 13706.8 3677.5 3.727 0.000202 ***
## GrLivArea2:HouseStyle_1Story 10345.3 2100.2 4.926 9.52e-07 ***
## GrLivArea2:Neighborhood_Sawyer -12286.6 3027.3 -4.059 5.24e-05 ***
## GrLivArea2:Neighborhood_Edwards -13141.4 3087.0 -4.257 2.23e-05 ***
## Neighborhood_NridgHt:BedroomAbvGr -13255.0 3696.5 -3.586 0.000349 ***
## GrLivArea2:Neighborhood_StoneBr 27880.3 10138.4 2.750 0.006045 **
## KitchenQual_Gd:GrLivArea -6544.1 6244.9 -1.048 0.294881
## GrLivArea2:KitchenQual_Ex 20344.9 2794.4 7.281 5.85e-13 ***
## LotArea:SaleCondition_Abnorml -8952.8 2277.9 -3.930 8.95e-05 ***
## LotArea:HouseStyle_1Story -3563.8 1249.0 -2.853 0.004398 **
## Neighborhood_NAmes:BedroomAbvGr 4913.5 1618.2 3.036 0.002444 **
## GrLivArea2:SaleCondition_Alloca 12573.7 3499.4 3.593 0.000339 ***
## KitchenQual_Ex:BedroomAbvGr -8596.5 2663.7 -3.227 0.001282 **
## SaleCondition_Family:BedroomAbvGr -9852.4 3846.3 -2.562 0.010537 *
## Neighborhood_Veenker:BedroomAbvGr -14390.1 6340.4 -2.270 0.023401 *
## GrLivArea2:KitchenQual_Gd 17078.5 6210.2 2.750 0.006044 **
## LotArea:Neighborhood_Somerst 10989.1 3645.2 3.015 0.002624 **
## LotArea:Neighborhood_Edwards 8128.3 3223.7 2.521 0.011813 *
## LotArea:Neighborhood_StoneBr 19135.3 7879.5 2.429 0.015301 *
## KitchenQual_Gd:BedroomAbvGr -3908.8 1419.9 -2.753 0.005992 **
## Neighborhood_CollgCr:BedroomAbvGr 5497.3 2052.1 2.679 0.007485 **
## GrLivArea2:Neighborhood_Timber 13657.9 4584.2 2.979 0.002944 **
## Neighborhood_Timber:BedroomAbvGr -9387.7 4741.1 -1.980 0.047914 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 16150 on 1255 degrees of freedom
## Multiple R-squared: 0.9397, Adjusted R-squared: 0.9359
## F-statistic: 241.7 on 81 and 1255 DF, p-value: < 2.2e-16#confint(custom_model)ols_plot_cooksd_bar(custom_model)
custom_model_outliers = ols_plot_cooksd_bar(custom_model, print_plot=F)
custom_model_outliers## $plot
##
## $outliers
## observation cooks_distance
## 4 4 0.003543888
## 6 6 0.003399545
## 13 13 0.004289133
## 28 28 0.003642190
## 30 30 0.005823876
## 55 55 0.013135587
## 96 96 0.004212178
## 106 106 0.008018093
## 107 107 0.023823538
## 135 135 0.003207307
## 143 143 0.003759305
## 157 157 0.003372909
## 163 163 0.005291487
## 183 183 0.021003983
## 208 208 0.005288475
## 215 215 0.003625828
## 296 296 0.007138951
## 302 302 0.024511245
## 304 304 0.005066521
## 347 347 0.007643672
## 354 354 0.003353417
## 357 357 0.005383267
## 375 375 0.004028943
## 384 384 0.003289255
## 385 385 0.005366861
## 387 387 0.006309380
## 415 415 0.004794333
## 421 421 0.005413910
## 426 426 0.004153642
## 434 434 0.004934384
## 437 437 0.003180215
## 443 443 0.003425909
## 444 444 0.004208544
## 464 464 0.005042230
## 498 498 0.005749834
## 504 504 0.005139997
## 520 520 0.004867591
## 525 525 0.005480573
## 556 556 3.005120700
## 587 587 0.003501458
## 600 600 0.003686513
## 603 603 0.004985053
## 616 616 0.004035460
## 618 618 0.008860284
## 628 628 0.004164920
## 636 636 0.004031839
## 641 641 0.028359000
## 652 652 0.003252106
## 661 661 0.006418077
## 671 671 0.028162367
## 679 679 0.015855310
## 697 697 0.004238421
## 736 736 0.003642279
## 751 751 0.008499661
## 770 770 0.003713512
## 786 786 0.004355492
## 813 813 0.004256891
## 842 842 0.005525438
## 877 877 0.005078961
## 886 886 0.003827759
## 887 887 0.003535544
## 900 900 0.007303184
## 903 903 0.003223335
## 932 932 0.003599037
## 941 941 0.004401580
## 946 946 0.003023951
## 950 950 0.003161612
## 952 952 0.003676440
## 976 976 0.003331366
## 1001 1001 0.022062877
## 1004 1004 0.003273019
## 1030 1030 0.003335776
## 1033 1033 0.004782949
## 1047 1047 0.003201613
## 1058 1058 0.003184410
## 1064 1064 0.013880367
## 1065 1065 0.005091751
## 1069 1069 0.030098398
## 1079 1079 0.003609284
## 1117 1117 0.003222361
## 1120 1120 0.005935099
## 1124 1124 0.026440754
## 1133 1133 0.003600535
## 1137 1137 0.009515901
## 1138 1138 0.003727963
## 1144 1144 0.003180165
## 1147 1147 0.008787862
## 1173 1173 0.003019987
## 1204 1204 0.003495404
## 1229 1229 0.003421068
## 1234 1234 0.003323490
## 1240 1240 0.003166986
## 1245 1245 0.007816497
## 1265 1265 0.003571352
## 1267 1267 0.005078423
## 1270 1270 0.003153578
## 1277 1277 0.008436338
## 1284 1284 0.009064145
## 1311 1311 0.004150049
##
## $threshold
## [1] 0.002991773ols_plot_dffits(custom_model)
ols_plot_diagnostics(custom_model)
ols_plot_resid_fit(custom_model)
ols_plot_resid_pot(custom_model)
ols_pred_rsq(custom_model)## [1] 0.9189806plot(custom_fit)
custom_model_outliers$outliers$observation## [1] 4 6 13 28 30 55 96 106 107 135 143 157 163 183 208
## [16] 215 296 302 304 347 354 357 375 384 385 387 415 421 426 434
## [31] 437 443 444 464 498 504 520 525 556 587 600 603 616 618 628
## [46] 636 641 652 661 671 679 697 736 751 770 786 813 842 877 886
## [61] 887 900 903 932 941 946 950 952 976 1001 1004 1030 1033 1047 1058
## [76] 1064 1065 1069 1079 1117 1120 1124 1133 1137 1138 1144 1147 1173 1204 1229
## [91] 1234 1240 1245 1265 1267 1270 1277 1284 1311custom_predictions = c(predict(custom_model, newdata = one_encode_custom_test_data))
#custom_predictions
custom_submission = data.frame(Id= one_encode_custom_test_data$Id, SalePrice=custom_predictions)
#custom_submission
#write_csv(custom_submission, "../kaggleData/customSelection3Predictions.csv")custom1_vif = VIF(custom_model)
c(custom1_vif)## OverallQual GrLivArea2
## 3.477800 126.762273
## X1stFlrSF GarageCars
## 88.078655 2.063084
## BsmtFullBath KitchenQual_Ex
## 1.355247 2.923617
## YearRemodAdd Neighborhood_OldTown
## 2.634656 2.957955
## LotArea Neighborhood_NAmes
## 6.948472 5.744746
## Neighborhood_NWAmes Fireplaces
## 3.071139 1.682766
## Neighborhood_Somerst Neighborhood_SWISU
## 5.255422 1.527162
## BsmtHalfBath SaleCondition_Alloca
## 1.169157 1.275071
## HalfBath X2ndFlrSF
## 2.698535 123.463454
## SaleCondition_Abnorml SaleCondition_Normal
## 2.395320 2.854522
## Neighborhood_CollgCr Neighborhood_NridgHt
## 5.057512 3.518294
## Neighborhood_StoneBr YrSold
## 2.801473 1.103324
## FullBath HouseStyle_1.5Unf
## 3.190475 1.493529
## SaleCondition_AdjLand Neighborhood_ClearCr
## 1.178133 1.820818
## Neighborhood_SawyerW Neighborhood_Gilbert
## 2.482942 3.503867
## HouseStyle_2Story Neighborhood_Veenker
## 12.935394 1.506393
## HouseStyle_2.5Unf Neighborhood_Blueste
## 1.486847 1.089745
## Neighborhood_NPkVill KitchenQual_Fa
## 1.337048 1.194358
## Neighborhood_Blmngtn Remodel
## 1.657583 1.718222
## HouseStyle_SFoyer Neighborhood_Timber
## 1.973592 2.381406
## Neighborhood_MeadowV SaleCondition_Family
## 1.609204 1.579370
## Neighborhood_Mitchel Neighborhood_IDOTRR
## 2.200802 1.631235
## HouseStyle_1.5Fin Neighborhood_BrDale
## 4.858822 1.627201
## HouseStyle_1Story KitchenQual_Gd
## 8.843804 2.452199
## Neighborhood_Sawyer BedroomAbvGr
## 3.435067 4.013172
## GrLivArea Neighborhood_Crawfor
## 249.459064 1.998721
## PoolArea Neighborhood_Edwards
## 1.266842 3.558421
## Neighborhood_NoRidge GrLivArea2:Neighborhood_OldTown
## 2.696540 1.498841
## GrLivArea2:Neighborhood_NAmes LotArea:Neighborhood_NridgHt
## 2.739910 2.118146
## Neighborhood_Somerst:GrLivArea GrLivArea2:HouseStyle_1Story
## 1.895161 5.937463
## GrLivArea2:Neighborhood_Sawyer GrLivArea2:Neighborhood_Edwards
## 1.862621 1.929414
## Neighborhood_NridgHt:BedroomAbvGr GrLivArea2:Neighborhood_StoneBr
## 2.534722 1.759247
## KitchenQual_Gd:GrLivArea GrLivArea2:KitchenQual_Ex
## 80.111946 3.411086
## LotArea:SaleCondition_Abnorml LotArea:HouseStyle_1Story
## 1.261825 5.609563
## Neighborhood_NAmes:BedroomAbvGr GrLivArea2:SaleCondition_Alloca
## 2.213100 1.507463
## KitchenQual_Ex:BedroomAbvGr SaleCondition_Family:BedroomAbvGr
## 2.162747 1.442640
## Neighborhood_Veenker:BedroomAbvGr GrLivArea2:KitchenQual_Gd
## 1.298424 91.857015
## LotArea:Neighborhood_Somerst LotArea:Neighborhood_Edwards
## 2.253445 1.174233
## LotArea:Neighborhood_StoneBr KitchenQual_Gd:BedroomAbvGr
## 1.788748 3.682856
## Neighborhood_CollgCr:BedroomAbvGr GrLivArea2:Neighborhood_Timber
## 1.512475 2.738361
## Neighborhood_Timber:BedroomAbvGr
## 2.277508#one_encode_custom_train_data_model2one_encode_custom_train_data_model2 = one_encode_custom_train_data
one_encode_custom_train_data_model2$index = seq.int(nrow(one_encode_custom_train_data_model2))
#one_encode_custom_train_data_model2
custom_model_1_outliers = c( 556)
#
#
#
one_encode_custom_train_data_model2 = one_encode_custom_train_data_model2[!(one_encode_custom_train_data_model2$index %in% custom_model_1_outliers), ]
# one_encode_custom_train_data_model2
#
#
#get original data again without all the outliers. This way we can scale it using only the values we will utilize, we do this to avoid data leaking
final_one_encode_custom_train_data_model2 = data_train[(data_train$Id %in% one_encode_custom_train_data_model2$Id), ]
#final_one_encode_custom_train_data_model2# do all the data preprossesing again
final_one_encode_custom_train_data_model2 = final_one_encode_custom_train_data_model2 %>% select(Id, selected_features_q2, SalePrice)
# # 2.5Fin does not exist in test data so changing it to 1.5Unf
final_one_encode_custom_train_data_model2$HouseStyle = as.character(final_one_encode_custom_train_data_model2$HouseStyle)
final_one_encode_custom_train_data_model2 = final_one_encode_custom_train_data_model2 %>% mutate_at(vars(HouseStyle) , ~ifelse(.x=="2.5Fin","1.5Unf",.x ))
final_one_encode_custom_train_data_model2$HouseStyle = as.factor(final_one_encode_custom_train_data_model2$HouseStyle)
custom2_train_data_process = preProcess(final_one_encode_custom_train_data_model2[,2:22], method=c("center", "scale"))
final_one_encode_custom_train_data_model2 = predict(custom2_train_data_process, final_one_encode_custom_train_data_model2)
final_custom_test_data = data_test %>% select(Id, selected_features_q2)
final_custom_test_data = predict(custom2_train_data_process, final_custom_test_data)
final_custom_test_data$KitchenQual = as.character(final_custom_test_data$KitchenQual)
final_custom_test_data = final_custom_test_data %>% mutate_at(vars(KitchenQual) , ~ifelse(is.na(.x),"Ex",.x ))
final_custom_test_data$KitchenQual = as.factor(final_custom_test_data$KitchenQual)
# Impute = NA in test data
final_custom_test_data= final_custom_test_data %>% mutate_at(vars(GarageCars),~ifelse(is.na(.x), median(.x, na.rm = TRUE), .x))
final_custom_test_data= final_custom_test_data %>% mutate_at(vars(BsmtFullBath),~ifelse(is.na(.x), median(.x, na.rm = TRUE), .x))
final_custom_test_data= final_custom_test_data %>% mutate_at(vars(BsmtHalfBath),~ifelse(is.na(.x), median(.x, na.rm = TRUE), .x))
one_encode_custom_train_data2= one_hot(as.data.table(final_one_encode_custom_train_data_model2, dropUnusedLevels=TRUE))
one_encode_custom_test_data2 = one_hot(as.data.table(final_custom_test_data, dropUnusedLevels=TRUE))
# #References: Neighborhood_BrkSide KitchenQual_TA HouseStyle_SLvl SaleCondition_Partial
# # Manual exclusion:
# # take away PoolArea due to 0 variance warning
# #SaleCondition_AdjLand:GrLivArea2 NA NA NA NA
# #SaleCondition_Alloca:GrLivArea2 NA NA NA NA
# #LotArea:SaleCondition_AdjLand NA NA NA NA
# #LotArea:SaleCondition_Alloca NA NA NA NA
# #SaleCondition_Alloca:BedroomAbvGr NA NA NA NA
lm_fit_custom2 = lm(SalePrice ~.-SaleCondition_Partial-Id-HouseStyle_SLvl-Neighborhood_BrkSide-KitchenQual_TA-PoolArea+
(Neighborhood_Blmngtn+Neighborhood_Blueste+Neighborhood_BrDale+Neighborhood_ClearCr+Neighborhood_CollgCr+Neighborhood_Crawfor+Neighborhood_Edwards+Neighborhood_Gilbert+Neighborhood_IDOTRR+Neighborhood_MeadowV+Neighborhood_Mitchel+Neighborhood_NAmes+Neighborhood_NPkVill+Neighborhood_NridgHt+Neighborhood_NWAmes+Neighborhood_OldTown+Neighborhood_Sawyer+Neighborhood_SawyerW+Neighborhood_Somerst+Neighborhood_StoneBr+Neighborhood_SWISU+Neighborhood_Timber+Neighborhood_Veenker+SaleCondition_Abnorml+SaleCondition_Family+SaleCondition_Normal+HouseStyle_1.5Fin+HouseStyle_1.5Unf+HouseStyle_1Story+HouseStyle_2.5Unf+HouseStyle_2Story+HouseStyle_SFoyer+KitchenQual_Ex+KitchenQual_Fa+KitchenQual_Gd )*GrLivArea +
(Neighborhood_Blmngtn+Neighborhood_BrDale+Neighborhood_ClearCr+Neighborhood_CollgCr+Neighborhood_Crawfor+Neighborhood_Edwards+Neighborhood_Gilbert+Neighborhood_IDOTRR+Neighborhood_MeadowV+Neighborhood_Mitchel+Neighborhood_NAmes+Neighborhood_NPkVill+Neighborhood_NridgHt+Neighborhood_NWAmes+Neighborhood_OldTown+Neighborhood_Sawyer+Neighborhood_SawyerW+Neighborhood_Somerst+Neighborhood_StoneBr+Neighborhood_SWISU+Neighborhood_Timber+Neighborhood_Veenker+SaleCondition_Abnorml+SaleCondition_AdjLand+SaleCondition_Family+SaleCondition_Normal+HouseStyle_1.5Fin+HouseStyle_1.5Unf+HouseStyle_1Story+HouseStyle_2.5Unf+HouseStyle_2Story+HouseStyle_SFoyer+KitchenQual_Ex+KitchenQual_Fa+KitchenQual_Gd)*GrLivArea2 +
(Neighborhood_Blmngtn+Neighborhood_BrDale+Neighborhood_ClearCr+Neighborhood_CollgCr+Neighborhood_Crawfor+Neighborhood_Edwards+Neighborhood_Gilbert+Neighborhood_IDOTRR+Neighborhood_MeadowV+Neighborhood_Mitchel+Neighborhood_NAmes+Neighborhood_NPkVill+Neighborhood_NridgHt+Neighborhood_NWAmes+Neighborhood_OldTown+Neighborhood_Sawyer+Neighborhood_SawyerW+Neighborhood_Somerst+Neighborhood_StoneBr+Neighborhood_SWISU+Neighborhood_Timber+Neighborhood_Veenker+SaleCondition_Abnorml++SaleCondition_Family+SaleCondition_Normal+HouseStyle_1.5Fin+HouseStyle_1.5Unf+HouseStyle_1Story+HouseStyle_2.5Unf+HouseStyle_2Story+HouseStyle_SFoyer)*LotArea +
(Neighborhood_Blmngtn+Neighborhood_BrDale+Neighborhood_ClearCr+Neighborhood_CollgCr+Neighborhood_Crawfor+Neighborhood_Edwards+Neighborhood_Gilbert+Neighborhood_IDOTRR+Neighborhood_MeadowV+Neighborhood_Mitchel+Neighborhood_NAmes+Neighborhood_NPkVill+Neighborhood_NridgHt+Neighborhood_NWAmes+Neighborhood_OldTown+Neighborhood_Sawyer+Neighborhood_SawyerW+Neighborhood_Somerst+Neighborhood_StoneBr+Neighborhood_SWISU+Neighborhood_Timber+Neighborhood_Veenker+SaleCondition_Abnorml+SaleCondition_Family+SaleCondition_Normal+HouseStyle_1.5Fin+HouseStyle_1.5Unf+HouseStyle_1Story+HouseStyle_2.5Unf+HouseStyle_2Story+HouseStyle_SFoyer+KitchenQual_Ex+KitchenQual_Fa+KitchenQual_Gd ) * BedroomAbvGr
, data = one_encode_custom_train_data2)
summary(lm_fit_custom2) ##
## Call:
## lm(formula = SalePrice ~ . - SaleCondition_Partial - Id - HouseStyle_SLvl -
## Neighborhood_BrkSide - KitchenQual_TA - PoolArea + (Neighborhood_Blmngtn +
## Neighborhood_Blueste + Neighborhood_BrDale + Neighborhood_ClearCr +
## Neighborhood_CollgCr + Neighborhood_Crawfor + Neighborhood_Edwards +
## Neighborhood_Gilbert + Neighborhood_IDOTRR + Neighborhood_MeadowV +
## Neighborhood_Mitchel + Neighborhood_NAmes + Neighborhood_NPkVill +
## Neighborhood_NridgHt + Neighborhood_NWAmes + Neighborhood_OldTown +
## Neighborhood_Sawyer + Neighborhood_SawyerW + Neighborhood_Somerst +
## Neighborhood_StoneBr + Neighborhood_SWISU + Neighborhood_Timber +
## Neighborhood_Veenker + SaleCondition_Abnorml + SaleCondition_Family +
## SaleCondition_Normal + HouseStyle_1.5Fin + HouseStyle_1.5Unf +
## HouseStyle_1Story + HouseStyle_2.5Unf + HouseStyle_2Story +
## HouseStyle_SFoyer + KitchenQual_Ex + KitchenQual_Fa + KitchenQual_Gd) *
## GrLivArea + (Neighborhood_Blmngtn + Neighborhood_BrDale +
## Neighborhood_ClearCr + Neighborhood_CollgCr + Neighborhood_Crawfor +
## Neighborhood_Edwards + Neighborhood_Gilbert + Neighborhood_IDOTRR +
## Neighborhood_MeadowV + Neighborhood_Mitchel + Neighborhood_NAmes +
## Neighborhood_NPkVill + Neighborhood_NridgHt + Neighborhood_NWAmes +
## Neighborhood_OldTown + Neighborhood_Sawyer + Neighborhood_SawyerW +
## Neighborhood_Somerst + Neighborhood_StoneBr + Neighborhood_SWISU +
## Neighborhood_Timber + Neighborhood_Veenker + SaleCondition_Abnorml +
## SaleCondition_AdjLand + SaleCondition_Family + SaleCondition_Normal +
## HouseStyle_1.5Fin + HouseStyle_1.5Unf + HouseStyle_1Story +
## HouseStyle_2.5Unf + HouseStyle_2Story + HouseStyle_SFoyer +
## KitchenQual_Ex + KitchenQual_Fa + KitchenQual_Gd) * GrLivArea2 +
## (Neighborhood_Blmngtn + Neighborhood_BrDale + Neighborhood_ClearCr +
## Neighborhood_CollgCr + Neighborhood_Crawfor + Neighborhood_Edwards +
## Neighborhood_Gilbert + Neighborhood_IDOTRR + Neighborhood_MeadowV +
## Neighborhood_Mitchel + Neighborhood_NAmes + Neighborhood_NPkVill +
## Neighborhood_NridgHt + Neighborhood_NWAmes + Neighborhood_OldTown +
## Neighborhood_Sawyer + Neighborhood_SawyerW + Neighborhood_Somerst +
## Neighborhood_StoneBr + Neighborhood_SWISU + Neighborhood_Timber +
## Neighborhood_Veenker + SaleCondition_Abnorml + +SaleCondition_Family +
## SaleCondition_Normal + HouseStyle_1.5Fin + HouseStyle_1.5Unf +
## HouseStyle_1Story + HouseStyle_2.5Unf + HouseStyle_2Story +
## HouseStyle_SFoyer) * LotArea + (Neighborhood_Blmngtn +
## Neighborhood_BrDale + Neighborhood_ClearCr + Neighborhood_CollgCr +
## Neighborhood_Crawfor + Neighborhood_Edwards + Neighborhood_Gilbert +
## Neighborhood_IDOTRR + Neighborhood_MeadowV + Neighborhood_Mitchel +
## Neighborhood_NAmes + Neighborhood_NPkVill + Neighborhood_NridgHt +
## Neighborhood_NWAmes + Neighborhood_OldTown + Neighborhood_Sawyer +
## Neighborhood_SawyerW + Neighborhood_Somerst + Neighborhood_StoneBr +
## Neighborhood_SWISU + Neighborhood_Timber + Neighborhood_Veenker +
## SaleCondition_Abnorml + SaleCondition_Family + SaleCondition_Normal +
## HouseStyle_1.5Fin + HouseStyle_1.5Unf + HouseStyle_1Story +
## HouseStyle_2.5Unf + HouseStyle_2Story + HouseStyle_SFoyer +
## KitchenQual_Ex + KitchenQual_Fa + KitchenQual_Gd) * BedroomAbvGr,
## data = one_encode_custom_train_data2)
##
## Residuals:
## Min 1Q Median 3Q Max
## -59540 -8851 0 9347 61463
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.809e+05 5.257e+03 34.415 < 2e-16 ***
## GrLivArea -2.150e+04 2.755e+04 -0.780 0.435319
## Neighborhood_Blmngtn -7.837e+04 1.006e+05 -0.779 0.436267
## Neighborhood_Blueste -2.060e+04 1.346e+04 -1.530 0.126326
## Neighborhood_BrDale 2.897e+04 1.967e+05 0.147 0.882961
## Neighborhood_ClearCr 2.933e+03 8.068e+03 0.364 0.716261
## Neighborhood_CollgCr 4.109e+03 3.809e+03 1.079 0.280871
## Neighborhood_Crawfor 1.321e+04 4.741e+03 2.786 0.005420 **
## Neighborhood_Edwards -2.262e+04 4.117e+03 -5.494 4.83e-08 ***
## Neighborhood_Gilbert 1.699e+01 5.234e+03 0.003 0.997410
## Neighborhood_IDOTRR -8.371e+03 8.052e+03 -1.040 0.298712
## Neighborhood_MeadowV 1.308e+04 6.184e+04 0.212 0.832468
## Neighborhood_Mitchel -6.200e+03 4.603e+03 -1.347 0.178285
## Neighborhood_NAmes -1.245e+04 3.549e+03 -3.507 0.000471 ***
## Neighborhood_NoRidge 2.068e+04 8.528e+03 2.425 0.015467 *
## Neighborhood_NPkVill 5.927e+05 9.024e+05 0.657 0.511470
## Neighborhood_NridgHt 1.018e+04 7.988e+03 1.274 0.202966
## Neighborhood_NWAmes -6.869e+03 5.311e+03 -1.293 0.196140
## Neighborhood_OldTown -1.923e+04 3.650e+03 -5.267 1.65e-07 ***
## Neighborhood_Sawyer -1.408e+04 4.623e+03 -3.046 0.002370 **
## Neighborhood_SawyerW -5.920e+03 4.218e+03 -1.403 0.160768
## Neighborhood_Somerst 1.878e+04 6.178e+03 3.039 0.002425 **
## Neighborhood_StoneBr 3.445e+04 1.206e+04 2.857 0.004348 **
## Neighborhood_SWISU -1.175e+04 8.390e+03 -1.400 0.161811
## Neighborhood_Timber 4.896e+03 6.542e+03 0.748 0.454374
## Neighborhood_Veenker 2.979e+04 1.693e+04 1.759 0.078838 .
## LotArea 9.089e+03 7.005e+03 1.297 0.194729
## YrSold 2.383e+02 4.841e+02 0.492 0.622658
## SaleCondition_Abnorml -2.574e+04 3.390e+03 -7.594 6.42e-14 ***
## SaleCondition_AdjLand 6.668e+03 5.880e+04 0.113 0.909739
## SaleCondition_Alloca -2.589e+04 7.967e+03 -3.249 0.001190 **
## SaleCondition_Family -1.671e+04 7.963e+03 -2.098 0.036099 *
## SaleCondition_Normal -1.219e+04 2.795e+03 -4.361 1.41e-05 ***
## HouseStyle_1.5Fin -5.084e+03 3.684e+03 -1.380 0.167771
## HouseStyle_1.5Unf -6.428e+03 1.191e+04 -0.540 0.589451
## HouseStyle_1Story 7.921e+03 3.258e+03 2.431 0.015209 *
## HouseStyle_2.5Unf 8.837e+02 1.470e+04 0.060 0.952070
## HouseStyle_2Story -6.046e+03 4.334e+03 -1.395 0.163265
## HouseStyle_SFoyer 6.201e+03 1.514e+04 0.410 0.682168
## KitchenQual_Ex 1.870e+04 3.987e+03 4.688 3.08e-06 ***
## KitchenQual_Fa -5.981e+03 4.145e+03 -1.443 0.149307
## KitchenQual_Gd 6.314e+03 1.538e+03 4.106 4.31e-05 ***
## YearRemodAdd 4.885e+03 7.639e+02 6.395 2.34e-10 ***
## GarageCars 5.316e+03 6.938e+02 7.663 3.86e-14 ***
## Fireplaces 3.263e+03 6.110e+02 5.341 1.11e-07 ***
## BsmtFullBath 6.436e+03 5.440e+02 11.831 < 2e-16 ***
## BsmtHalfBath 2.388e+03 5.196e+02 4.596 4.77e-06 ***
## FullBath 3.111e+03 8.987e+02 3.461 0.000558 ***
## HalfBath 3.716e+03 7.821e+02 4.751 2.28e-06 ***
## BedroomAbvGr -1.382e+04 5.587e+03 -2.474 0.013496 *
## Remodel -7.038e+01 6.114e+02 -0.115 0.908383
## OverallQual 1.394e+04 8.927e+02 15.614 < 2e-16 ***
## GrLivArea2 4.149e+04 2.621e+04 1.583 0.113709
## X1stFlrSF 7.187e+03 5.040e+03 1.426 0.154128
## X2ndFlrSF 5.376e+03 5.749e+03 0.935 0.349899
## GrLivArea:Neighborhood_Blmngtn 2.862e+05 4.150e+05 0.690 0.490542
## GrLivArea:Neighborhood_Blueste -9.503e+03 3.134e+04 -0.303 0.761779
## GrLivArea:Neighborhood_BrDale -5.585e+05 7.575e+05 -0.737 0.461126
## GrLivArea:Neighborhood_ClearCr -7.201e+03 5.337e+04 -0.135 0.892698
## GrLivArea:Neighborhood_CollgCr -1.441e+04 1.409e+04 -1.023 0.306756
## GrLivArea:Neighborhood_Crawfor 1.144e+03 2.016e+04 0.057 0.954745
## GrLivArea:Neighborhood_Edwards -9.187e+03 1.820e+04 -0.505 0.613906
## GrLivArea:Neighborhood_Gilbert -4.772e+04 2.635e+04 -1.811 0.070457 .
## GrLivArea:Neighborhood_IDOTRR -6.499e+03 3.051e+04 -0.213 0.831326
## GrLivArea:Neighborhood_MeadowV -6.945e+04 9.501e+04 -0.731 0.464911
## GrLivArea:Neighborhood_Mitchel -3.968e+04 2.700e+04 -1.470 0.141886
## GrLivArea:Neighborhood_NAmes -2.999e+04 1.196e+04 -2.508 0.012282 *
## GrLivArea:Neighborhood_NPkVill 1.208e+06 1.904e+06 0.634 0.525952
## GrLivArea:Neighborhood_NridgHt 3.059e+04 3.484e+04 0.878 0.380150
## GrLivArea:Neighborhood_NWAmes -6.540e+03 2.210e+04 -0.296 0.767375
## GrLivArea:Neighborhood_OldTown -1.007e+04 1.295e+04 -0.777 0.437145
## GrLivArea:Neighborhood_Sawyer -3.628e+04 1.671e+04 -2.171 0.030101 *
## GrLivArea:Neighborhood_SawyerW -2.206e+04 1.700e+04 -1.297 0.194723
## GrLivArea:Neighborhood_Somerst -2.774e+04 3.198e+04 -0.867 0.385880
## GrLivArea:Neighborhood_StoneBr -1.128e+05 8.786e+04 -1.284 0.199400
## GrLivArea:Neighborhood_SWISU -2.820e+04 1.860e+04 -1.517 0.129629
## GrLivArea:Neighborhood_Timber -1.154e+04 3.183e+04 -0.363 0.716945
## GrLivArea:Neighborhood_Veenker -2.542e+05 1.815e+05 -1.401 0.161539
## GrLivArea:SaleCondition_Abnorml 1.919e+04 2.074e+04 0.926 0.354883
## GrLivArea:SaleCondition_Family 5.362e+04 4.210e+04 1.273 0.203107
## GrLivArea:SaleCondition_Normal 2.806e+04 1.830e+04 1.534 0.125373
## GrLivArea:HouseStyle_1.5Fin 1.785e+04 1.877e+04 0.951 0.341896
## GrLivArea:HouseStyle_1.5Unf 3.587e+04 5.372e+04 0.668 0.504411
## GrLivArea:HouseStyle_1Story 1.607e+04 1.706e+04 0.942 0.346311
## GrLivArea:HouseStyle_2.5Unf 1.201e+04 7.953e+04 0.151 0.880030
## GrLivArea:HouseStyle_2Story 2.303e+04 1.848e+04 1.246 0.212920
## GrLivArea:HouseStyle_SFoyer 3.232e+03 5.260e+04 0.061 0.951014
## GrLivArea:KitchenQual_Ex -7.722e+03 1.493e+04 -0.517 0.605238
## GrLivArea:KitchenQual_Fa -2.886e+04 1.667e+04 -1.731 0.083643 .
## GrLivArea:KitchenQual_Gd -1.082e+04 8.327e+03 -1.300 0.193979
## Neighborhood_Blmngtn:GrLivArea2 -3.293e+05 4.865e+05 -0.677 0.498583
## Neighborhood_BrDale:GrLivArea2 7.595e+05 1.030e+06 0.737 0.461049
## Neighborhood_ClearCr:GrLivArea2 -3.895e+02 5.098e+04 -0.008 0.993904
## Neighborhood_CollgCr:GrLivArea2 6.781e+03 1.382e+04 0.491 0.623694
## Neighborhood_Crawfor:GrLivArea2 -9.678e+02 1.775e+04 -0.055 0.956537
## Neighborhood_Edwards:GrLivArea2 -1.493e+04 2.026e+04 -0.737 0.461317
## Neighborhood_Gilbert:GrLivArea2 3.996e+04 2.410e+04 1.658 0.097560 .
## Neighborhood_IDOTRR:GrLivArea2 4.530e+03 4.122e+04 0.110 0.912509
## Neighborhood_MeadowV:GrLivArea2 8.962e+04 1.218e+05 0.736 0.462051
## Neighborhood_Mitchel:GrLivArea2 3.331e+04 3.057e+04 1.090 0.276047
## Neighborhood_NAmes:GrLivArea2 8.595e+03 1.182e+04 0.727 0.467426
## Neighborhood_NPkVill:GrLivArea2 -1.374e+06 2.132e+06 -0.644 0.519573
## Neighborhood_NridgHt:GrLivArea2 -2.761e+04 2.877e+04 -0.960 0.337415
## Neighborhood_NWAmes:GrLivArea2 1.910e+03 1.910e+04 0.100 0.920361
## Neighborhood_OldTown:GrLivArea2 -3.520e+03 1.248e+04 -0.282 0.778053
## Neighborhood_Sawyer:GrLivArea2 1.883e+04 1.728e+04 1.089 0.276199
## Neighborhood_SawyerW:GrLivArea2 1.756e+04 1.623e+04 1.082 0.279384
## Neighborhood_Somerst:GrLivArea2 3.059e+04 2.950e+04 1.037 0.300013
## Neighborhood_StoneBr:GrLivArea2 1.329e+05 9.014e+04 1.475 0.140554
## Neighborhood_SWISU:GrLivArea2 1.609e+04 1.852e+04 0.869 0.385227
## Neighborhood_Timber:GrLivArea2 2.317e+04 2.742e+04 0.845 0.398215
## Neighborhood_Veenker:GrLivArea2 2.587e+05 1.778e+05 1.455 0.145843
## SaleCondition_Abnorml:GrLivArea2 -3.281e+04 1.979e+04 -1.658 0.097594 .
## SaleCondition_AdjLand:GrLivArea2 2.302e+04 7.877e+04 0.292 0.770181
## SaleCondition_Family:GrLivArea2 -7.398e+04 3.885e+04 -1.904 0.057127 .
## SaleCondition_Normal:GrLivArea2 -3.771e+04 1.706e+04 -2.211 0.027236 *
## HouseStyle_1.5Fin:GrLivArea2 -9.695e+03 1.775e+04 -0.546 0.585105
## HouseStyle_1.5Unf:GrLivArea2 -3.804e+04 5.729e+04 -0.664 0.506780
## HouseStyle_1Story:GrLivArea2 2.321e+02 1.668e+04 0.014 0.988903
## HouseStyle_2.5Unf:GrLivArea2 -2.163e+04 7.574e+04 -0.286 0.775244
## HouseStyle_2Story:GrLivArea2 -1.749e+04 1.675e+04 -1.044 0.296660
## HouseStyle_SFoyer:GrLivArea2 1.204e+04 7.146e+04 0.168 0.866235
## KitchenQual_Ex:GrLivArea2 2.634e+04 1.409e+04 1.870 0.061791 .
## KitchenQual_Fa:GrLivArea2 3.185e+04 2.011e+04 1.584 0.113535
## KitchenQual_Gd:GrLivArea2 2.064e+04 8.476e+03 2.435 0.015052 *
## Neighborhood_Blmngtn:LotArea -3.331e+04 7.480e+04 -0.445 0.656128
## Neighborhood_BrDale:LotArea -6.522e+04 1.749e+05 -0.373 0.709241
## Neighborhood_ClearCr:LotArea 9.406e+02 3.794e+03 0.248 0.804264
## Neighborhood_CollgCr:LotArea 1.468e+03 5.395e+03 0.272 0.785582
## Neighborhood_Crawfor:LotArea -4.048e+03 4.842e+03 -0.836 0.403334
## Neighborhood_Edwards:LotArea 8.569e+03 4.795e+03 1.787 0.074233 .
## Neighborhood_Gilbert:LotArea -8.838e+02 4.082e+03 -0.217 0.828631
## Neighborhood_IDOTRR:LotArea 3.356e+03 7.084e+03 0.474 0.635737
## Neighborhood_MeadowV:LotArea 1.061e+04 3.615e+04 0.293 0.769205
## Neighborhood_Mitchel:LotArea -7.017e+02 4.399e+03 -0.160 0.873279
## Neighborhood_NAmes:LotArea 1.449e+03 4.290e+03 0.338 0.735579
## Neighborhood_NPkVill:LotArea 5.910e+05 8.831e+05 0.669 0.503534
## Neighborhood_NridgHt:LotArea 3.273e+04 6.840e+03 4.786 1.93e-06 ***
## Neighborhood_NWAmes:LotArea 1.377e+03 5.681e+03 0.242 0.808524
## Neighborhood_OldTown:LotArea 3.862e+03 4.865e+03 0.794 0.427461
## Neighborhood_Sawyer:LotArea -4.267e+03 5.240e+03 -0.814 0.415594
## Neighborhood_SawyerW:LotArea 2.194e+03 7.335e+03 0.299 0.764934
## Neighborhood_Somerst:LotArea 1.254e+04 5.050e+03 2.483 0.013176 *
## Neighborhood_StoneBr:LotArea 1.476e+04 9.658e+03 1.528 0.126807
## Neighborhood_SWISU:LotArea 1.268e+04 1.662e+04 0.763 0.445758
## Neighborhood_Timber:LotArea -4.420e+03 4.779e+03 -0.925 0.355265
## Neighborhood_Veenker:LotArea -2.095e+04 1.662e+04 -1.260 0.207865
## LotArea:SaleCondition_Abnorml -5.308e+03 4.685e+03 -1.133 0.257425
## LotArea:SaleCondition_Family -1.399e+04 1.730e+04 -0.809 0.418674
## LotArea:SaleCondition_Normal 8.645e+02 3.819e+03 0.226 0.820962
## LotArea:HouseStyle_1.5Fin -4.299e+03 5.321e+03 -0.808 0.419266
## LotArea:HouseStyle_1.5Unf -1.345e+04 1.782e+04 -0.755 0.450568
## LotArea:HouseStyle_1Story -7.154e+03 4.775e+03 -1.498 0.134333
## LotArea:HouseStyle_2.5Unf 1.561e+04 2.405e+04 0.649 0.516342
## LotArea:HouseStyle_2Story -2.911e+03 4.972e+03 -0.585 0.558329
## LotArea:HouseStyle_SFoyer -8.470e+03 1.013e+04 -0.836 0.403147
## Neighborhood_Blmngtn:BedroomAbvGr 1.362e+04 1.117e+04 1.220 0.222773
## Neighborhood_BrDale:BedroomAbvGr 1.662e+04 1.864e+04 0.891 0.372916
## Neighborhood_ClearCr:BedroomAbvGr -7.049e+02 3.960e+03 -0.178 0.858757
## Neighborhood_CollgCr:BedroomAbvGr 6.325e+03 3.778e+03 1.674 0.094345 .
## Neighborhood_Crawfor:BedroomAbvGr -3.979e+03 4.366e+03 -0.911 0.362297
## Neighborhood_Edwards:BedroomAbvGr 5.811e+03 3.689e+03 1.575 0.115418
## Neighborhood_Gilbert:BedroomAbvGr -1.111e+03 5.117e+03 -0.217 0.828077
## Neighborhood_IDOTRR:BedroomAbvGr 3.072e+03 6.150e+03 0.500 0.617515
## Neighborhood_MeadowV:BedroomAbvGr 6.549e+03 1.573e+04 0.416 0.677128
## Neighborhood_Mitchel:BedroomAbvGr -1.050e+03 3.866e+03 -0.272 0.786010
## Neighborhood_NAmes:BedroomAbvGr 7.388e+03 3.253e+03 2.271 0.023341 *
## Neighborhood_NPkVill:BedroomAbvGr 5.876e+04 7.517e+04 0.782 0.434529
## Neighborhood_NridgHt:BedroomAbvGr -1.149e+04 5.114e+03 -2.247 0.024829 *
## Neighborhood_NWAmes:BedroomAbvGr -2.518e+03 4.753e+03 -0.530 0.596403
## Neighborhood_OldTown:BedroomAbvGr 5.832e+02 3.510e+03 0.166 0.868061
## Neighborhood_Sawyer:BedroomAbvGr 6.880e+03 4.000e+03 1.720 0.085745 .
## Neighborhood_SawyerW:BedroomAbvGr 1.661e+03 4.811e+03 0.345 0.729911
## Neighborhood_Somerst:BedroomAbvGr 4.245e+03 4.628e+03 0.917 0.359107
## Neighborhood_StoneBr:BedroomAbvGr 4.296e+03 6.456e+03 0.665 0.505949
## Neighborhood_SWISU:BedroomAbvGr 8.501e+03 5.311e+03 1.601 0.109724
## Neighborhood_Timber:BedroomAbvGr -9.139e+03 5.513e+03 -1.658 0.097620 .
## Neighborhood_Veenker:BedroomAbvGr -2.320e+04 1.112e+04 -2.087 0.037128 *
## SaleCondition_Abnorml:BedroomAbvGr 4.277e+03 3.322e+03 1.287 0.198226
## SaleCondition_Family:BedroomAbvGr 4.034e+03 8.835e+03 0.457 0.648034
## SaleCondition_Normal:BedroomAbvGr 4.829e+03 2.611e+03 1.850 0.064637 .
## HouseStyle_1.5Fin:BedroomAbvGr 5.707e+03 4.243e+03 1.345 0.178923
## HouseStyle_1.5Unf:BedroomAbvGr 1.248e+04 1.102e+04 1.132 0.257680
## HouseStyle_1Story:BedroomAbvGr 5.172e+03 3.835e+03 1.349 0.177690
## HouseStyle_2.5Unf:BedroomAbvGr 8.657e+03 6.352e+03 1.363 0.173198
## HouseStyle_2Story:BedroomAbvGr 6.116e+03 4.090e+03 1.495 0.135112
## HouseStyle_SFoyer:BedroomAbvGr 7.654e+03 4.860e+03 1.575 0.115531
## KitchenQual_Ex:BedroomAbvGr -7.381e+03 3.458e+03 -2.134 0.033019 *
## KitchenQual_Fa:BedroomAbvGr -1.309e+03 4.498e+03 -0.291 0.771110
## KitchenQual_Gd:BedroomAbvGr -2.074e+03 1.801e+03 -1.152 0.249558
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 16150 on 1146 degrees of freedom
## Multiple R-squared: 0.9446, Adjusted R-squared: 0.9355
## F-statistic: 103.4 on 189 and 1146 DF, p-value: < 2.2e-16ols_press(lm_fit_custom2)## [1] Infcustom_fit2 = ols_step_forward_p(lm_fit_custom2, penter=0.05, details = F)
custom_fit2##
## Selection Summary
## ----------------------------------------------------------------------------------------------------------
## Variable Adj.
## Step Entered R-Square R-Square C(p) AIC RMSE
## ----------------------------------------------------------------------------------------------------------
## 1 OverallQual 0.6536 0.6533 5836.2226 31933.3094 37445.9512
## 2 GrLivArea2 0.7524 0.7521 3792.8640 31486.4881 31667.8353
## 3 X1stFlrSF 0.7955 0.7950 2904.6597 31233.4683 28795.9627
## 4 GarageCars 0.8176 0.8171 2447.5317 31082.0699 27199.5686
## 5 BsmtFullBath 0.8339 0.8333 2112.2990 30958.9984 25965.4999
## 6 KitchenQual_Ex 0.8476 0.8469 1831.8469 30846.4069 24884.8399
## 7 YearRemodAdd 0.8596 0.8588 1585.6912 30738.9195 23894.7630
## 8 Neighborhood_OldTown 0.8681 0.8673 1411.2375 30657.2204 23166.5971
## 9 LotArea 0.8753 0.8744 1264.6880 30584.4495 22535.8024
## 10 GrLivArea:KitchenQual_Gd 0.8812 0.8803 1143.9057 30521.3243 22001.4703
## 11 Neighborhood_Crawfor 0.8839 0.8830 1089.7890 30492.4684 21757.0734
## 12 Neighborhood_NridgHt 0.8879 0.8868 1010.6322 30448.5445 21394.4081
## 13 SaleCondition_Abnorml 0.8911 0.8900 946.0023 30411.6238 21093.0066
## 14 Neighborhood_Somerst 0.8938 0.8927 890.8850 30379.3327 20831.9198
## 15 HalfBath 0.8953 0.8941 862.1021 30362.4802 20693.2896
## 16 Neighborhood_Edwards 0.8966 0.8954 837.4274 30347.9258 20573.2746
## 17 SaleCondition_Normal 0.8981 0.8968 809.2129 30330.9233 20435.2304
## 18 SaleCondition_Alloca 0.8997 0.8984 776.9276 30311.0281 20276.1559
## 19 BsmtHalfBath 0.9001 0.8986 771.5464 30308.2671 20247.7480
## 20 FullBath 0.9003 0.8988 768.7382 30307.1565 20231.8789
## 21 Neighborhood_ClearCr 0.9004 0.8988 768.2956 30307.5736 20227.5893
## 22 Neighborhood_MeadowV 0.9006 0.8989 767.1505 30307.5326 20219.8397
## 23 Neighborhood_SawyerW 0.9007 0.8990 766.0672 30307.5286 20212.3796
## 24 Neighborhood_Mitchel 0.9011 0.8992 761.4467 30305.2156 20187.4748
## 25 Neighborhood_BrDale 0.9015 0.8996 754.5097 30301.3712 20151.0546
## 26 SaleCondition_Family 0.9025 0.9006 735.2627 30289.3733 20053.4200
## 27 SaleCondition_AdjLand 0.9027 0.9007 733.6002 30288.9455 20042.8645
## 28 Neighborhood_IDOTRR 0.9030 0.9009 729.8203 30287.1051 20021.7330
## 29 YrSold 0.9030 0.9009 730.7961 30288.4234 20024.2877
## 30 Neighborhood_NPkVill 0.9031 0.9009 731.4558 30289.5308 20025.2675
## 31 HouseStyle_SFoyer 0.9032 0.9008 732.0589 30290.5999 20025.9664
## 32 Neighborhood_Timber 0.9033 0.9009 731.2804 30290.7464 20019.7572
## 33 KitchenQual_Fa 0.9033 0.9009 732.8755 30292.4760 20025.4178
## 34 Neighborhood_Sawyer 0.9036 0.9011 728.7468 30290.3776 20002.4080
## 35 HouseStyle_2Story 0.9036 0.9010 730.7196 30292.3593 20009.9632
## 36 Neighborhood_Blueste 0.9037 0.9010 731.1612 30293.3152 20009.8428
## 37 Fireplaces 0.9046 0.9019 714.3960 30282.6774 19923.0958
## 38 Neighborhood_Blmngtn 0.9047 0.9019 713.8537 30282.9560 19917.9390
## 39 Neighborhood_CollgCr 0.9051 0.9023 706.9743 30278.9264 19880.7081
## 40 Neighborhood_Gilbert 0.9052 0.9023 707.6891 30280.0514 19881.8708
## 41 Neighborhood_Veenker 0.9055 0.9025 703.0922 30277.5510 19856.0805
## 42 Neighborhood_StoneBr 0.9073 0.9043 668.1618 30254.0734 19675.2563
## 43 HouseStyle_1.5Unf 0.9073 0.9043 669.3556 30255.5118 19678.7323
## 44 Remodel 0.9074 0.9043 669.2008 30256.0095 19675.2872
## 45 Neighborhood_SWISU 0.9077 0.9045 665.8125 30254.2455 19655.2040
## 46 HouseStyle_1.5Fin 0.9077 0.9045 666.9986 30255.6760 19658.6364
## 47 BedroomAbvGr 0.9085 0.9051 654.1205 30247.2229 19589.4802
## 48 HouseStyle_1Story 0.9088 0.9054 648.4680 30243.8143 19557.4615
## 49 HouseStyle_2.5Unf 0.9089 0.9054 648.8710 30244.6828 19556.7810
## 50 X2ndFlrSF 0.9089 0.9054 650.3705 30246.3280 19561.7915
## 51 Neighborhood_NWAmes 0.9091 0.9055 649.3173 30246.1616 19553.5472
## 52 KitchenQual_Gd 0.9095 0.9058 642.8260 30242.1179 19516.9714
## 53 GrLivArea 0.9102 0.9065 630.0221 30233.5154 19447.2619
## 54 Neighborhood_NAmes 0.9127 0.9090 580.4703 30197.9234 19183.0600
## 55 Neighborhood_NAmes:GrLivArea2 0.9181 0.9146 470.5746 30114.4955 18586.7048
## 56 Neighborhood_NoRidge 0.9204 0.9169 425.5228 30078.8752 18334.0111
## 57 Neighborhood_OldTown:GrLivArea2 0.9235 0.9201 362.1164 30026.7547 17973.4246
## 58 KitchenQual_Ex:GrLivArea2 0.9260 0.9226 314.1199 29985.8542 17694.0795
## 59 Neighborhood_NridgHt:LotArea 0.9275 0.9241 284.4487 29959.9476 17517.1027
## 60 Neighborhood_NridgHt:BedroomAbvGr 0.9291 0.9258 253.0695 29931.8912 17327.9542
## 61 Neighborhood_Somerst:GrLivArea2 0.9306 0.9272 225.0315 29906.2529 17156.3727
## 62 Neighborhood_StoneBr:GrLivArea2 0.9317 0.9284 203.2970 29886.0029 17020.7840
## 63 HouseStyle_1Story:GrLivArea2 0.9326 0.9292 187.1569 29870.7439 16917.8436
## 64 GrLivArea:Neighborhood_Sawyer 0.9335 0.9302 169.1008 29853.3988 16802.4083
## 65 Neighborhood_Edwards:GrLivArea2 0.9346 0.9313 148.3741 29833.1339 16669.5398
## 66 LotArea:SaleCondition_Abnorml 0.9352 0.9318 138.7972 29823.6479 16604.5757
## 67 LotArea:HouseStyle_1Story 0.9359 0.9325 126.9576 29811.7861 16525.1699
## 68 KitchenQual_Ex:BedroomAbvGr 0.9363 0.9328 121.1163 29805.8680 16482.7732
## 69 KitchenQual_Gd:BedroomAbvGr 0.9366 0.9332 115.2516 29799.8788 16440.0529
## 70 Neighborhood_Somerst:LotArea 0.9370 0.9335 110.3035 29794.7807 16402.9178
## 71 Neighborhood_Edwards:LotArea 0.9373 0.9337 106.1518 29790.4646 16370.6619
## 72 Neighborhood_Veenker:BedroomAbvGr 0.9375 0.9340 102.5315 29786.6679 16341.6511
## 73 KitchenQual_Gd:GrLivArea2 0.9378 0.9342 98.6601 29782.5851 16310.9505
## 74 Neighborhood_NAmes:BedroomAbvGr 0.9381 0.9345 94.4759 29778.1483 16278.1556
## 75 SaleCondition_Family:BedroomAbvGr 0.9385 0.9348 89.5147 29772.8655 16240.2889
## 76 Neighborhood_CollgCr:BedroomAbvGr 0.9388 0.9351 85.0707 29768.0881 16205.5806
## 77 Neighborhood_StoneBr:LotArea 0.9391 0.9353 80.8765 29763.5410 16172.3452
## 78 Neighborhood_Timber:GrLivArea2 0.9393 0.9356 77.7136 29760.0593 16145.6192
## 79 Neighborhood_Timber:BedroomAbvGr 0.9395 0.9357 75.7240 29757.8078 16126.3660
## ----------------------------------------------------------------------------------------------------------custom_model2 = custom_fit2$model
ols_press(custom_model2)## [1] 371652600928formatC(ols_press(custom_model2), format = "e", digits = 6)## [1] "3.716526e+11"summary(custom_model2)##
## Call:
## lm(formula = paste(response, "~", paste(preds, collapse = " + ")),
## data = l)
##
## Residuals:
## Min 1Q Median 3Q Max
## -61413 -9540 16 10002 56407
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 180061.0 4100.4 43.913 < 2e-16 ***
## OverallQual 14174.0 822.4 17.236 < 2e-16 ***
## GrLivArea2 8447.6 4898.3 1.725 0.084848 .
## X1stFlrSF 7172.6 4089.6 1.754 0.079699 .
## GarageCars 5636.5 633.8 8.893 < 2e-16 ***
## BsmtFullBath 6686.0 512.8 13.039 < 2e-16 ***
## KitchenQual_Ex 19290.4 3537.0 5.454 5.93e-08 ***
## YearRemodAdd 5196.5 716.3 7.254 7.04e-13 ***
## Neighborhood_OldTown -18895.8 2805.8 -6.735 2.49e-11 ***
## LotArea 7217.2 1161.9 6.212 7.11e-10 ***
## Neighborhood_Crawfor 15614.7 3575.4 4.367 1.36e-05 ***
## Neighborhood_NridgHt 20808.4 4129.2 5.039 5.36e-07 ***
## SaleCondition_Abnorml -26070.2 2696.3 -9.669 < 2e-16 ***
## Neighborhood_Somerst 16247.3 4047.7 4.014 6.33e-05 ***
## HalfBath 3313.8 723.3 4.581 5.08e-06 ***
## Neighborhood_Edwards -18540.9 3281.8 -5.650 1.99e-08 ***
## SaleCondition_Normal -13265.9 2028.4 -6.540 8.92e-11 ***
## SaleCondition_Alloca -33961.3 6767.4 -5.018 5.96e-07 ***
## BsmtHalfBath 2419.7 477.1 5.072 4.53e-07 ***
## FullBath 2482.1 788.2 3.149 0.001676 **
## Neighborhood_ClearCr 4228.0 5028.6 0.841 0.400623
## Neighborhood_MeadowV -14855.4 5145.3 -2.887 0.003954 **
## Neighborhood_SawyerW -4594.2 3596.4 -1.277 0.201682
## Neighborhood_Mitchel -3825.0 3545.5 -1.079 0.280864
## Neighborhood_BrDale -18329.5 5340.6 -3.432 0.000618 ***
## SaleCondition_Family -11252.1 5447.2 -2.066 0.039063 *
## SaleCondition_AdjLand -17979.6 8764.8 -2.051 0.040441 *
## Neighborhood_IDOTRR -10260.2 3479.3 -2.949 0.003248 **
## YrSold 235.2 463.5 0.508 0.611882
## Neighborhood_NPkVill -7863.3 6236.1 -1.261 0.207570
## HouseStyle_SFoyer -1664.5 3817.4 -0.436 0.662888
## Neighborhood_Timber 4617.6 4459.9 1.035 0.300702
## KitchenQual_Fa -4288.2 2977.7 -1.440 0.150079
## Neighborhood_Sawyer -11962.0 3583.9 -3.338 0.000869 ***
## HouseStyle_2Story -3404.3 3460.1 -0.984 0.325378
## Neighborhood_Blueste -16397.3 11912.4 -1.376 0.168916
## Fireplaces 3210.6 571.5 5.618 2.38e-08 ***
## Neighborhood_Blmngtn -10357.9 5577.5 -1.857 0.063534 .
## Neighborhood_CollgCr 5316.1 3161.4 1.682 0.092899 .
## Neighborhood_Gilbert -3047.0 3566.7 -0.854 0.393108
## Neighborhood_Veenker 9623.2 7017.2 1.371 0.170503
## Neighborhood_StoneBr 23784.4 7544.5 3.153 0.001657 **
## HouseStyle_1.5Unf -6994.6 5105.0 -1.370 0.170888
## Remodel -546.5 578.4 -0.945 0.344930
## Neighborhood_SWISU -10911.0 4488.5 -2.431 0.015202 *
## HouseStyle_1.5Fin -3077.9 3160.8 -0.974 0.330343
## BedroomAbvGr -918.4 881.6 -1.042 0.297737
## HouseStyle_1Story 7200.1 2616.7 2.752 0.006016 **
## HouseStyle_2.5Unf -6409.4 6576.8 -0.975 0.329975
## X2ndFlrSF 4383.3 4848.0 0.904 0.366097
## Neighborhood_NWAmes -6110.1 3569.6 -1.712 0.087200 .
## KitchenQual_Gd 5978.6 1407.4 4.248 2.32e-05 ***
## GrLivArea 1769.2 6899.2 0.256 0.797656
## Neighborhood_NAmes -10524.3 2840.2 -3.705 0.000220 ***
## Neighborhood_NoRidge 25442.8 4598.9 5.532 3.84e-08 ***
## GrLivArea:KitchenQual_Gd -8067.2 6169.0 -1.308 0.191216
## GrLivArea2:Neighborhood_NAmes -15674.5 1804.4 -8.687 < 2e-16 ***
## GrLivArea2:Neighborhood_OldTown -9531.7 1836.1 -5.191 2.43e-07 ***
## GrLivArea2:KitchenQual_Ex 20571.5 2752.4 7.474 1.45e-13 ***
## LotArea:Neighborhood_NridgHt 38100.7 5276.5 7.221 8.93e-13 ***
## Neighborhood_NridgHt:BedroomAbvGr -13202.8 3688.4 -3.580 0.000357 ***
## GrLivArea2:Neighborhood_Somerst 13097.5 3469.3 3.775 0.000167 ***
## GrLivArea2:Neighborhood_StoneBr 27445.6 10009.0 2.742 0.006192 **
## GrLivArea2:HouseStyle_1Story 10421.0 2072.9 5.027 5.70e-07 ***
## GrLivArea:Neighborhood_Sawyer -11538.6 2726.9 -4.231 2.49e-05 ***
## GrLivArea2:Neighborhood_Edwards -12972.4 3044.8 -4.260 2.19e-05 ***
## LotArea:SaleCondition_Abnorml -8569.6 2245.3 -3.817 0.000142 ***
## LotArea:HouseStyle_1Story -3701.0 1245.8 -2.971 0.003025 **
## KitchenQual_Ex:BedroomAbvGr -8664.8 2657.8 -3.260 0.001143 **
## KitchenQual_Gd:BedroomAbvGr -3980.8 1414.6 -2.814 0.004968 **
## LotArea:Neighborhood_Somerst 11208.0 3596.4 3.116 0.001872 **
## LotArea:Neighborhood_Edwards 8029.3 3219.4 2.494 0.012758 *
## Neighborhood_Veenker:BedroomAbvGr -14446.0 6326.8 -2.283 0.022578 *
## GrLivArea2:KitchenQual_Gd 18775.1 6080.5 3.088 0.002061 **
## BedroomAbvGr:Neighborhood_NAmes 4712.9 1606.0 2.935 0.003400 **
## SaleCondition_Family:BedroomAbvGr -9880.3 3837.6 -2.575 0.010149 *
## Neighborhood_CollgCr:BedroomAbvGr 5479.9 2044.1 2.681 0.007440 **
## LotArea:Neighborhood_StoneBr 19185.9 7868.4 2.438 0.014892 *
## GrLivArea2:Neighborhood_Timber 13691.8 4525.2 3.026 0.002531 **
## Neighborhood_Timber:BedroomAbvGr -9464.9 4730.5 -2.001 0.045628 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 16130 on 1256 degrees of freedom
## Multiple R-squared: 0.9395, Adjusted R-squared: 0.9357
## F-statistic: 246.9 on 79 and 1256 DF, p-value: < 2.2e-16# confint(custom_model2) ols_plot_cooksd_bar(custom_model2)
#
custom_model_outliers2 = ols_plot_cooksd_bar(custom_model2, print_plot=F)
custom_model_outliers2## $plot
##
## $outliers
## observation cooks_distance
## 4 4 0.003643648
## 6 6 0.003587838
## 13 13 0.004403118
## 28 28 0.003633247
## 30 30 0.006085629
## 55 55 0.011827809
## 106 106 0.008729686
## 107 107 0.025081573
## 135 135 0.003199636
## 143 143 0.003851727
## 157 157 0.003427010
## 163 163 0.005342402
## 208 208 0.005416122
## 215 215 0.004111557
## 296 296 0.007335707
## 302 302 0.025748385
## 304 304 0.005178486
## 347 347 0.007461948
## 354 354 0.003480074
## 357 357 0.005660432
## 365 365 0.003003836
## 375 375 0.004144409
## 385 385 0.005654068
## 387 387 0.007004596
## 415 415 0.005070414
## 421 421 0.005584137
## 426 426 0.005195863
## 434 434 0.005039708
## 437 437 0.003328875
## 443 443 0.003479451
## 444 444 0.004387590
## 464 464 0.005269619
## 498 498 0.006101668
## 504 504 0.005273268
## 517 517 0.003020967
## 520 520 0.005052092
## 525 525 0.005609224
## 586 586 0.003610248
## 599 599 0.003943240
## 602 602 0.005148305
## 615 615 0.004240712
## 617 617 0.009237945
## 627 627 0.003814550
## 635 635 0.004143822
## 640 640 0.028062667
## 651 651 0.003338232
## 660 660 0.006730229
## 670 670 0.023576071
## 678 678 0.015481533
## 696 696 0.004305718
## 720 720 0.003062290
## 735 735 0.003610885
## 750 750 0.007151223
## 769 769 0.003547593
## 785 785 0.004362438
## 841 841 0.005628058
## 876 876 0.005277131
## 885 885 0.003905777
## 886 886 0.003659001
## 899 899 0.007459304
## 902 902 0.003322375
## 931 931 0.003717174
## 940 940 0.004501775
## 945 945 0.003051807
## 949 949 0.003119406
## 951 951 0.003749618
## 975 975 0.003448606
## 1000 1000 0.022828208
## 1003 1003 0.003604551
## 1029 1029 0.003426416
## 1032 1032 0.004873331
## 1046 1046 0.003350563
## 1057 1057 0.003274681
## 1063 1063 0.013500179
## 1064 1064 0.005346208
## 1078 1078 0.003693754
## 1116 1116 0.003350363
## 1119 1119 0.006219010
## 1123 1123 0.005180857
## 1132 1132 0.003697648
## 1136 1136 0.009797816
## 1137 1137 0.003820943
## 1143 1143 0.003459681
## 1146 1146 0.009145719
## 1172 1172 0.003102799
## 1203 1203 0.003537340
## 1228 1228 0.003511612
## 1233 1233 0.003295877
## 1239 1239 0.003302947
## 1244 1244 0.008082494
## 1264 1264 0.003604696
## 1266 1266 0.005156878
## 1269 1269 0.003330920
## 1276 1276 0.008964431
## 1283 1283 0.009249292
## 1310 1310 0.004276788
##
## $threshold
## [1] 0.002994012#
ols_plot_dffits(custom_model2)
ols_plot_diagnostics(custom_model2)
#
ols_plot_resid_fit(custom_model2)
ols_plot_resid_pot(custom_model2)
ols_pred_rsq(custom_model2)## [1] 0.9311714plot(custom_fit2)
# custom_model_outliers2$outliers$observationcustom_predictions2 = c(predict(custom_model2, newdata = one_encode_custom_test_data2))
#
#
custom_predictions2 = data.frame(Id= one_encode_custom_test_data2$Id, SalePrice=custom_predictions2)
custom_predictions2## Id SalePrice
## 1 1461 111608.47
## 2 1462 148350.77
## 3 1463 165570.64
## 4 1464 177556.26
## 5 1465 179096.08
## 6 1466 169536.44
## 7 1467 166303.09
## 8 1468 163475.89
## 9 1469 198422.86
## 10 1470 121317.28
## 11 1471 188743.18
## 12 1472 98980.87
## 13 1473 90226.32
## 14 1474 147943.23
## 15 1475 119149.98
## 16 1476 372047.38
## 17 1477 269225.07
## 18 1478 293441.99
## 19 1479 316766.51
## 20 1480 485543.39
## 21 1481 327626.15
## 22 1482 218925.02
## 23 1483 168826.31
## 24 1484 156225.88
## 25 1485 196449.24
## 26 1486 195051.19
## 27 1487 311672.87
## 28 1488 245799.62
## 29 1489 196287.11
## 30 1490 219357.28
## 31 1491 188003.97
## 32 1492 106975.62
## 33 1493 167184.67
## 34 1494 302445.11
## 35 1495 289826.59
## 36 1496 216350.30
## 37 1497 197716.80
## 38 1498 156482.43
## 39 1499 166447.06
## 40 1500 159072.08
## 41 1501 181563.86
## 42 1502 145402.67
## 43 1503 272495.92
## 44 1504 250040.20
## 45 1505 219221.07
## 46 1506 196754.11
## 47 1507 251810.36
## 48 1508 198157.29
## 49 1509 158231.35
## 50 1510 153989.22
## 51 1511 146870.15
## 52 1512 164948.86
## 53 1513 147688.80
## 54 1514 172181.52
## 55 1515 154986.42
## 56 1516 153417.67
## 57 1517 160527.18
## 58 1518 152918.44
## 59 1519 193496.39
## 60 1520 134210.60
## 61 1521 124785.39
## 62 1522 184650.20
## 63 1523 103014.56
## 64 1524 120176.14
## 65 1525 116841.98
## 66 1526 109095.38
## 67 1527 126436.34
## 68 1528 147908.72
## 69 1529 136424.60
## 70 1530 167006.44
## 71 1531 113039.69
## 72 1532 105494.51
## 73 1533 145978.53
## 74 1534 115654.99
## 75 1535 136569.07
## 76 1536 103729.25
## 77 1537 67143.65
## 78 1538 147842.84
## 79 1539 205339.70
## 80 1540 94107.25
## 81 1541 141624.74
## 82 1542 141100.04
## 83 1543 207397.50
## 84 1544 98773.56
## 85 1545 121734.34
## 86 1546 153974.91
## 87 1547 136917.12
## 88 1548 131345.84
## 89 1549 117149.21
## 90 1550 136037.21
## 91 1551 130167.92
## 92 1552 114906.14
## 93 1553 136947.47
## 94 1554 122580.61
## 95 1555 176975.71
## 96 1556 130196.53
## 97 1557 117255.09
## 98 1558 97703.37
## 99 1559 100250.95
## 100 1560 145302.22
## 101 1561 157308.72
## 102 1562 128696.87
## 103 1563 124968.30
## 104 1564 151357.58
## 105 1565 137926.92
## 106 1566 223259.54
## 107 1567 101862.05
## 108 1568 224891.49
## 109 1569 134647.50
## 110 1570 144394.18
## 111 1571 104301.04
## 112 1572 133607.17
## 113 1573 235108.53
## 114 1574 133560.19
## 115 1575 216274.80
## 116 1576 216536.52
## 117 1577 174916.24
## 118 1578 155609.50
## 119 1579 144788.36
## 120 1580 192651.60
## 121 1581 154211.37
## 122 1582 135849.43
## 123 1583 288895.14
## 124 1584 232293.83
## 125 1585 144827.99
## 126 1586 83311.88
## 127 1587 91643.68
## 128 1588 129128.32
## 129 1589 84638.92
## 130 1590 134135.05
## 131 1591 79309.32
## 132 1592 131256.23
## 133 1593 128377.55
## 134 1594 145847.23
## 135 1595 128010.05
## 136 1596 224997.87
## 137 1597 199593.65
## 138 1598 234738.28
## 139 1599 169916.87
## 140 1600 165559.22
## 141 1601 47249.80
## 142 1602 116306.85
## 143 1603 64788.73
## 144 1604 261561.61
## 145 1605 240974.37
## 146 1606 165600.97
## 147 1607 210086.38
## 148 1608 204801.94
## 149 1609 195810.59
## 150 1610 152940.37
## 151 1611 157955.58
## 152 1612 159258.27
## 153 1613 157628.95
## 154 1614 124159.07
## 155 1615 74852.00
## 156 1616 75408.72
## 157 1617 83605.82
## 158 1618 111279.37
## 159 1619 131511.94
## 160 1620 197747.94
## 161 1621 135281.58
## 162 1622 127109.33
## 163 1623 264369.26
## 164 1624 205981.80
## 165 1625 121500.19
## 166 1626 181584.41
## 167 1627 171752.03
## 168 1628 253238.30
## 169 1629 183384.19
## 170 1630 441266.43
## 171 1631 221479.10
## 172 1632 270475.72
## 173 1633 175198.43
## 174 1634 181726.29
## 175 1635 179773.68
## 176 1636 153710.57
## 177 1637 182923.29
## 178 1638 191953.50
## 179 1639 182466.15
## 180 1640 269721.76
## 181 1641 188102.90
## 182 1642 264491.69
## 183 1643 239906.28
## 184 1644 237201.91
## 185 1645 183727.49
## 186 1646 158464.26
## 187 1647 161394.98
## 188 1648 134064.82
## 189 1649 141129.79
## 190 1650 116128.29
## 191 1651 120816.26
## 192 1652 112364.07
## 193 1653 112113.85
## 194 1654 147848.06
## 195 1655 158168.91
## 196 1656 145686.89
## 197 1657 158980.20
## 198 1658 145956.81
## 199 1659 129669.38
## 200 1660 155566.13
## 201 1661 422894.53
## 202 1662 420788.76
## 203 1663 354899.17
## 204 1664 532468.85
## 205 1665 299056.30
## 206 1666 330816.73
## 207 1667 381813.53
## 208 1668 303802.97
## 209 1669 312207.91
## 210 1670 335712.06
## 211 1671 274408.11
## 212 1672 453669.11
## 213 1673 298401.49
## 214 1674 242245.08
## 215 1675 194133.61
## 216 1676 213328.40
## 217 1677 243454.81
## 218 1678 469740.17
## 219 1679 396356.17
## 220 1680 333608.81
## 221 1681 250480.99
## 222 1682 317405.92
## 223 1683 182334.63
## 224 1684 180948.64
## 225 1685 168607.31
## 226 1686 165337.47
## 227 1687 177292.25
## 228 1688 187173.77
## 229 1689 188493.51
## 230 1690 193503.79
## 231 1691 183845.36
## 232 1692 244092.53
## 233 1693 173376.94
## 234 1694 178807.72
## 235 1695 174816.94
## 236 1696 264570.26
## 237 1697 175790.91
## 238 1698 342449.10
## 239 1699 313129.28
## 240 1700 259376.62
## 241 1701 287936.70
## 242 1702 254202.09
## 243 1703 258475.11
## 244 1704 270088.93
## 245 1705 214165.22
## 246 1706 460344.19
## 247 1707 208459.68
## 248 1708 194072.54
## 249 1709 252509.06
## 250 1710 217102.55
## 251 1711 263869.75
## 252 1712 274569.88
## 253 1713 271154.40
## 254 1714 222357.73
## 255 1715 216636.40
## 256 1716 166732.83
## 257 1717 172825.30
## 258 1718 134162.69
## 259 1719 196226.78
## 260 1720 206403.01
## 261 1721 160176.63
## 262 1722 123918.71
## 263 1723 149020.75
## 264 1724 208271.20
## 265 1725 229129.41
## 266 1726 172844.28
## 267 1727 162292.55
## 268 1728 186981.68
## 269 1729 153027.01
## 270 1730 170956.29
## 271 1731 133766.41
## 272 1732 129975.52
## 273 1733 110778.87
## 274 1734 119182.95
## 275 1735 125836.55
## 276 1736 120242.39
## 277 1737 314447.22
## 278 1738 241002.40
## 279 1739 378995.21
## 280 1740 240408.70
## 281 1741 189352.64
## 282 1742 181447.79
## 283 1743 182903.16
## 284 1744 296681.23
## 285 1745 245202.00
## 286 1746 208492.85
## 287 1747 222765.91
## 288 1748 245281.65
## 289 1749 156275.61
## 290 1750 132895.77
## 291 1751 241082.85
## 292 1752 119684.03
## 293 1753 151601.28
## 294 1754 188701.85
## 295 1755 170858.83
## 296 1756 123527.19
## 297 1757 112723.60
## 298 1758 150922.72
## 299 1759 172896.66
## 300 1760 167505.91
## 301 1761 152075.15
## 302 1762 142957.19
## 303 1763 171683.01
## 304 1764 123685.85
## 305 1765 168133.99
## 306 1766 174210.08
## 307 1767 201658.39
## 308 1768 133768.08
## 309 1769 175969.56
## 310 1770 150414.63
## 311 1771 121781.86
## 312 1772 139605.72
## 313 1773 135956.03
## 314 1774 162179.59
## 315 1775 141229.04
## 316 1776 123991.72
## 317 1777 111355.18
## 318 1778 137460.57
## 319 1779 124109.03
## 320 1780 180894.59
## 321 1781 121453.43
## 322 1782 71583.28
## 323 1783 132187.21
## 324 1784 97447.57
## 325 1785 103674.24
## 326 1786 147644.42
## 327 1787 153402.93
## 328 1788 56488.07
## 329 1789 103630.39
## 330 1790 89351.00
## 331 1791 175510.52
## 332 1792 148087.40
## 333 1793 158844.13
## 334 1794 153741.99
## 335 1795 131703.15
## 336 1796 132335.48
## 337 1797 119011.83
## 338 1798 117202.01
## 339 1799 114672.50
## 340 1800 133489.58
## 341 1801 124655.21
## 342 1802 127929.58
## 343 1803 145445.93
## 344 1804 137558.42
## 345 1805 148003.21
## 346 1806 118692.05
## 347 1807 145688.98
## 348 1808 135925.88
## 349 1809 112067.40
## 350 1810 119182.46
## 351 1811 86192.49
## 352 1812 95146.69
## 353 1813 107196.70
## 354 1814 90767.98
## 355 1815 52928.54
## 356 1816 92120.70
## 357 1817 108346.40
## 358 1818 168242.41
## 359 1819 141977.69
## 360 1820 76244.49
## 361 1821 105770.44
## 362 1822 139599.08
## 363 1823 48614.63
## 364 1824 150638.19
## 365 1825 140430.22
## 366 1826 105954.23
## 367 1827 113267.71
## 368 1828 131422.71
## 369 1829 157728.97
## 370 1830 129644.82
## 371 1831 150636.02
## 372 1832 97837.28
## 373 1833 153389.95
## 374 1834 121870.04
## 375 1835 135033.45
## 376 1836 125944.81
## 377 1837 87113.03
## 378 1838 142383.83
## 379 1839 108860.39
## 380 1840 141744.81
## 381 1841 148804.72
## 382 1842 116504.40
## 383 1843 113357.64
## 384 1844 150603.36
## 385 1845 131878.57
## 386 1846 158592.54
## 387 1847 194195.67
## 388 1848 58409.33
## 389 1849 128929.36
## 390 1850 121891.46
## 391 1851 133100.83
## 392 1852 121415.93
## 393 1853 123380.62
## 394 1854 179803.27
## 395 1855 179584.28
## 396 1856 217465.25
## 397 1857 187983.62
## 398 1858 139750.17
## 399 1859 133680.05
## 400 1860 156357.54
## 401 1861 132222.82
## 402 1862 293766.73
## 403 1863 288624.95
## 404 1864 288673.53
## 405 1865 306783.52
## 406 1866 285380.39
## 407 1867 219193.44
## 408 1868 265177.05
## 409 1869 196839.79
## 410 1870 210077.62
## 411 1871 221752.98
## 412 1872 177690.52
## 413 1873 224700.44
## 414 1874 140639.74
## 415 1875 206371.36
## 416 1876 198227.54
## 417 1877 204670.56
## 418 1878 202183.18
## 419 1879 123547.41
## 420 1880 132985.81
## 421 1881 229061.28
## 422 1882 255380.41
## 423 1883 198368.53
## 424 1884 212012.68
## 425 1885 228774.13
## 426 1886 258595.74
## 427 1887 205557.95
## 428 1888 244539.80
## 429 1889 175950.42
## 430 1890 117460.49
## 431 1891 134978.67
## 432 1892 84331.67
## 433 1893 134243.53
## 434 1894 126833.10
## 435 1895 136227.95
## 436 1896 108938.38
## 437 1897 108691.42
## 438 1898 117981.92
## 439 1899 172153.86
## 440 1900 160043.13
## 441 1901 183846.81
## 442 1902 148272.44
## 443 1903 222694.70
## 444 1904 165114.30
## 445 1905 205860.84
## 446 1906 179972.61
## 447 1907 238731.37
## 448 1908 110869.67
## 449 1909 142084.68
## 450 1910 123343.26
## 451 1911 224639.15
## 452 1912 363611.76
## 453 1913 166302.79
## 454 1914 70146.58
## 455 1915 298207.63
## 456 1916 67464.60
## 457 1917 236968.59
## 458 1918 141829.95
## 459 1919 174663.99
## 460 1920 165356.11
## 461 1921 342237.72
## 462 1922 273157.95
## 463 1923 259275.25
## 464 1924 223689.93
## 465 1925 222697.26
## 466 1926 356168.75
## 467 1927 109707.97
## 468 1928 161286.58
## 469 1929 114759.54
## 470 1930 142963.42
## 471 1931 137324.42
## 472 1932 135684.84
## 473 1933 146689.59
## 474 1934 168455.31
## 475 1935 160194.54
## 476 1936 165490.06
## 477 1937 178353.83
## 478 1938 169548.67
## 479 1939 269325.34
## 480 1940 179011.74
## 481 1941 173822.95
## 482 1942 194254.78
## 483 1943 207374.14
## 484 1944 416198.43
## 485 1945 381633.24
## 486 1946 178113.90
## 487 1947 310601.03
## 488 1948 194927.51
## 489 1949 248118.10
## 490 1950 174865.15
## 491 1951 264802.33
## 492 1952 223928.78
## 493 1953 164486.17
## 494 1954 195713.62
## 495 1955 128212.92
## 496 1956 314558.45
## 497 1957 166580.03
## 498 1958 271885.39
## 499 1959 149163.04
## 500 1960 102740.80
## 501 1961 135957.39
## 502 1962 109686.67
## 503 1963 99154.02
## 504 1964 102038.60
## 505 1965 138600.42
## 506 1966 142939.56
## 507 1967 284347.72
## 508 1968 397372.88
## 509 1969 390410.30
## 510 1970 379511.02
## 511 1971 411343.58
## 512 1972 362927.71
## 513 1973 231883.07
## 514 1974 306570.53
## 515 1975 514568.71
## 516 1976 283354.76
## 517 1977 363691.81
## 518 1978 355389.56
## 519 1979 360243.18
## 520 1980 246399.36
## 521 1981 336510.29
## 522 1982 221816.44
## 523 1983 208757.28
## 524 1984 167184.06
## 525 1985 205127.12
## 526 1986 215982.36
## 527 1987 181152.56
## 528 1988 171237.85
## 529 1989 191716.93
## 530 1990 205008.82
## 531 1991 233785.09
## 532 1992 190525.39
## 533 1993 173458.27
## 534 1994 212091.38
## 535 1995 181279.30
## 536 1996 267829.43
## 537 1997 309502.56
## 538 1998 310071.95
## 539 1999 265310.74
## 540 2000 301589.53
## 541 2001 272025.35
## 542 2002 251724.86
## 543 2003 257509.65
## 544 2004 280893.94
## 545 2005 218650.09
## 546 2006 213712.97
## 547 2007 252818.75
## 548 2008 203898.98
## 549 2009 189540.66
## 550 2010 187960.54
## 551 2011 144584.31
## 552 2012 160515.76
## 553 2013 166227.93
## 554 2014 181106.82
## 555 2015 187666.61
## 556 2016 185610.83
## 557 2017 195390.01
## 558 2018 130970.09
## 559 2019 132671.43
## 560 2020 124392.54
## 561 2021 100639.84
## 562 2022 198262.07
## 563 2023 135593.13
## 564 2024 303442.54
## 565 2025 349636.34
## 566 2026 174916.38
## 567 2027 158479.85
## 568 2028 162181.13
## 569 2029 170633.61
## 570 2030 277582.57
## 571 2031 226158.42
## 572 2032 248280.60
## 573 2033 263063.79
## 574 2034 175852.94
## 575 2035 232124.45
## 576 2036 203556.47
## 577 2037 204548.15
## 578 2038 374199.57
## 579 2039 256886.51
## 580 2040 367213.12
## 581 2041 267820.46
## 582 2042 211213.35
## 583 2043 162860.62
## 584 2044 171564.25
## 585 2045 188759.49
## 586 2046 156994.80
## 587 2047 135014.53
## 588 2048 145515.40
## 589 2049 170097.67
## 590 2050 167013.41
## 591 2051 111034.31
## 592 2052 129330.88
## 593 2053 141666.25
## 594 2054 84102.26
## 595 2055 148983.37
## 596 2056 157082.08
## 597 2057 115774.65
## 598 2058 184501.36
## 599 2059 145186.91
## 600 2060 160200.74
## 601 2061 173991.66
## 602 2062 132850.02
## 603 2063 122173.86
## 604 2064 134731.19
## 605 2065 119287.26
## 606 2066 178446.76
## 607 2067 167141.57
## 608 2068 167196.44
## 609 2069 86114.90
## 610 2070 95010.40
## 611 2071 88682.74
## 612 2072 147079.33
## 613 2073 151454.63
## 614 2074 178677.31
## 615 2075 153358.05
## 616 2076 109372.60
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## 1335 2795 118804.53
## 1336 2796 102335.39
## 1337 2797 183275.19
## 1338 2798 93223.14
## 1339 2799 114227.24
## 1340 2800 71451.84
## 1341 2801 107092.17
## 1342 2802 133296.07
## 1343 2803 171441.28
## 1344 2804 152195.45
## 1345 2805 106692.28
## 1346 2806 90311.45
## 1347 2807 154510.30
## 1348 2808 140359.46
## 1349 2809 138584.33
## 1350 2810 116482.25
## 1351 2811 161194.09
## 1352 2812 153207.74
## 1353 2813 162849.41
## 1354 2814 161013.21
## 1355 2815 112850.81
## 1356 2816 231625.44
## 1357 2817 153173.88
## 1358 2818 136622.51
## 1359 2819 189463.01
## 1360 2820 124600.52
## 1361 2821 101999.53
## 1362 2822 178413.57
## 1363 2823 289480.56
## 1364 2824 151920.77
## 1365 2825 150481.27
## 1366 2826 125427.83
## 1367 2827 122554.42
## 1368 2828 262060.02
## 1369 2829 207180.55
## 1370 2830 236536.58
## 1371 2831 162757.47
## 1372 2832 253761.62
## 1373 2833 277736.39
## 1374 2834 220464.76
## 1375 2835 212444.77
## 1376 2836 190960.65
## 1377 2837 167599.59
## 1378 2838 149793.49
## 1379 2839 181555.69
## 1380 2840 199536.82
## 1381 2841 199462.83
## 1382 2842 225216.22
## 1383 2843 145820.72
## 1384 2844 179286.21
## 1385 2845 113614.40
## 1386 2846 202141.26
## 1387 2847 197356.19
## 1388 2848 215058.25
## 1389 2849 211118.02
## 1390 2850 274202.88
## 1391 2851 242941.06
## 1392 2852 240295.01
## 1393 2853 237026.00
## 1394 2854 144122.38
## 1395 2855 200053.99
## 1396 2856 212758.14
## 1397 2857 190630.08
## 1398 2858 208656.80
## 1399 2859 126326.51
## 1400 2860 128471.16
## 1401 2861 119202.61
## 1402 2862 164954.09
## 1403 2863 128222.79
## 1404 2864 201663.92
## 1405 2865 147715.41
## 1406 2866 142683.76
## 1407 2867 78629.45
## 1408 2868 115742.30
## 1409 2869 93757.14
## 1410 2870 131941.11
## 1411 2871 71395.84
## 1412 2872 54252.69
## 1413 2873 108171.96
## 1414 2874 129500.58
## 1415 2875 117128.71
## 1416 2876 164854.01
## 1417 2877 114113.59
## 1418 2878 159126.55
## 1419 2879 126577.22
## 1420 2880 97848.37
## 1421 2881 177831.08
## 1422 2882 163862.70
## 1423 2883 181777.80
## 1424 2884 215114.27
## 1425 2885 188293.67
## 1426 2886 214877.68
## 1427 2887 105479.20
## 1428 2888 130172.10
## 1429 2889 65024.28
## 1430 2890 66158.59
## 1431 2891 135054.52
## 1432 2892 42251.12
## 1433 2893 94710.50
## 1434 2894 62107.23
## 1435 2895 316608.50
## 1436 2896 260875.83
## 1437 2897 194744.67
## 1438 2898 174844.95
## 1439 2899 195701.92
## 1440 2900 161072.87
## 1441 2901 218856.74
## 1442 2902 200832.49
## 1443 2903 310849.86
## 1444 2904 318348.84
## 1445 2905 119477.67
## 1446 2906 206522.93
## 1447 2907 108050.93
## 1448 2908 125441.86
## 1449 2909 171084.71
## 1450 2910 74084.29
## 1451 2911 82367.12
## 1452 2912 153398.22
## 1453 2913 81934.04
## 1454 2914 74212.05
## 1455 2915 74750.38
## 1456 2916 81845.22
## 1457 2917 131482.84
## 1458 2918 120161.05
## 1459 2919 201171.92#write_csv(custom_predictions2, "../kaggleData/customSelection4Predictions.csv")custom2_vif = VIF(custom_model2)
c(custom2_vif)## OverallQual GrLivArea2
## 3.471616 123.169841
## X1stFlrSF GarageCars
## 85.856934 2.061982
## BsmtFullBath KitchenQual_Ex
## 1.349743 2.931247
## YearRemodAdd Neighborhood_OldTown
## 2.634081 2.954159
## LotArea Neighborhood_Crawfor
## 6.929924 1.953514
## Neighborhood_NridgHt SaleCondition_Abnorml
## 3.517653 2.394833
## Neighborhood_Somerst HalfBath
## 4.849040 2.685854
## Neighborhood_Edwards SaleCondition_Normal
## 3.547701 2.843296
## SaleCondition_Alloca BsmtHalfBath
## 1.226257 1.168521
## FullBath Neighborhood_ClearCr
## 3.188959 1.821182
## Neighborhood_MeadowV Neighborhood_SawyerW
## 1.609300 2.485526
## Neighborhood_Mitchel Neighborhood_BrDale
## 2.191920 1.626622
## SaleCondition_Family SaleCondition_AdjLand
## 1.580603 1.178061
## Neighborhood_IDOTRR YrSold
## 1.630644 1.102629
## Neighborhood_NPkVill HouseStyle_SFoyer
## 1.336790 1.962913
## Neighborhood_Timber KitchenQual_Fa
## 2.388886 1.194322
## Neighborhood_Sawyer HouseStyle_2Story
## 3.408459 12.901620
## Neighborhood_Blueste Fireplaces
## 1.089696 1.676710
## Neighborhood_Blmngtn Neighborhood_CollgCr
## 1.657163 5.057672
## Neighborhood_Gilbert Neighborhood_Veenker
## 3.506208 1.505699
## Neighborhood_StoneBr HouseStyle_1.5Unf
## 2.817651 1.486317
## Remodel Neighborhood_SWISU
## 1.717401 1.526221
## HouseStyle_1.5Fin BedroomAbvGr
## 4.844936 3.990139
## HouseStyle_1Story HouseStyle_2.5Unf
## 8.793051 1.486855
## X2ndFlrSF Neighborhood_NWAmes
## 120.653786 3.074052
## KitchenQual_Gd GrLivArea
## 2.438621 244.347183
## Neighborhood_NAmes Neighborhood_NoRidge
## 5.721107 2.694788
## GrLivArea:KitchenQual_Gd GrLivArea2:Neighborhood_NAmes
## 79.400379 2.581348
## GrLivArea2:Neighborhood_OldTown GrLivArea2:KitchenQual_Ex
## 1.491766 3.408651
## LotArea:Neighborhood_NridgHt Neighborhood_NridgHt:BedroomAbvGr
## 2.118401 2.532604
## GrLivArea2:Neighborhood_Somerst GrLivArea2:Neighborhood_StoneBr
## 1.655127 1.771494
## GrLivArea2:HouseStyle_1Story GrLivArea:Neighborhood_Sawyer
## 5.915974 1.824017
## GrLivArea2:Neighborhood_Edwards LotArea:SaleCondition_Abnorml
## 1.913319 1.229283
## LotArea:HouseStyle_1Story KitchenQual_Ex:BedroomAbvGr
## 5.595836 2.161286
## KitchenQual_Gd:BedroomAbvGr LotArea:Neighborhood_Somerst
## 3.671369 2.198587
## LotArea:Neighborhood_Edwards Neighborhood_Veenker:BedroomAbvGr
## 1.174082 1.297198
## GrLivArea2:KitchenQual_Gd BedroomAbvGr:Neighborhood_NAmes
## 90.488388 2.189490
## SaleCondition_Family:BedroomAbvGr Neighborhood_CollgCr:BedroomAbvGr
## 1.443542 1.506937
## LotArea:Neighborhood_StoneBr GrLivArea2:Neighborhood_Timber
## 1.787839 2.747639
## Neighborhood_Timber:BedroomAbvGr
## 2.278182#custom_model2$terms#custom_fit3 = ols_step_both_p(lm_fit_custom2, penter=0.05, details = F)
# OverallQual X1stFlrSF HouseStyle_2Story GrLivArea KitchenQual_Gd:GrLivArea GrLivArea2:KitchenQual_Gd
lm_fit_custom3 = lm(SalePrice ~ OverallQual + GarageCars +
BsmtFullBath + KitchenQual_Ex + YearRemodAdd + Neighborhood_OldTown +
LotArea + GrLivArea:KitchenQual_Gd + Neighborhood_Crawfor +
Neighborhood_NridgHt + SaleCondition_Abnorml + Neighborhood_Somerst +
HalfBath + Neighborhood_Edwards + SaleCondition_Normal +
SaleCondition_Alloca + BsmtHalfBath + FullBath + Neighborhood_ClearCr +
Neighborhood_MeadowV + Neighborhood_SawyerW + Neighborhood_Mitchel +
Neighborhood_BrDale + SaleCondition_Family + SaleCondition_AdjLand +
Neighborhood_IDOTRR + YrSold + Neighborhood_NPkVill + HouseStyle_SFoyer +
Neighborhood_Timber + KitchenQual_Fa + Neighborhood_Sawyer +
Neighborhood_Blueste + Fireplaces + Neighborhood_Blmngtn +
Neighborhood_CollgCr + Neighborhood_Gilbert + Neighborhood_Veenker +
Neighborhood_StoneBr + HouseStyle_1.5Unf + Remodel + Neighborhood_SWISU +
HouseStyle_1.5Fin + BedroomAbvGr + HouseStyle_1Story + HouseStyle_2.5Unf +
Neighborhood_NWAmes + KitchenQual_Gd +
Neighborhood_NAmes + Neighborhood_NAmes:GrLivArea2 + Neighborhood_NoRidge +
Neighborhood_OldTown:GrLivArea2 +
Neighborhood_NridgHt:LotArea + Neighborhood_NridgHt:BedroomAbvGr +
Neighborhood_Somerst:GrLivArea2 + Neighborhood_StoneBr:GrLivArea2 +
HouseStyle_1Story:GrLivArea2 + GrLivArea:Neighborhood_Sawyer +
Neighborhood_Edwards:GrLivArea2 + LotArea:SaleCondition_Abnorml +
LotArea:HouseStyle_1Story + KitchenQual_Ex:BedroomAbvGr +
KitchenQual_Gd:BedroomAbvGr + Neighborhood_Somerst:LotArea +
Neighborhood_Edwards:LotArea + Neighborhood_Veenker:BedroomAbvGr +
Neighborhood_NAmes:BedroomAbvGr +
SaleCondition_Family:BedroomAbvGr + Neighborhood_CollgCr:BedroomAbvGr +
Neighborhood_StoneBr:LotArea + Neighborhood_Timber:GrLivArea2 +
Neighborhood_Timber:BedroomAbvGr
, data = one_encode_custom_train_data2)
summary(lm_fit_custom3)##
## Call:
## lm(formula = SalePrice ~ OverallQual + GarageCars + BsmtFullBath +
## KitchenQual_Ex + YearRemodAdd + Neighborhood_OldTown + LotArea +
## GrLivArea:KitchenQual_Gd + Neighborhood_Crawfor + Neighborhood_NridgHt +
## SaleCondition_Abnorml + Neighborhood_Somerst + HalfBath +
## Neighborhood_Edwards + SaleCondition_Normal + SaleCondition_Alloca +
## BsmtHalfBath + FullBath + Neighborhood_ClearCr + Neighborhood_MeadowV +
## Neighborhood_SawyerW + Neighborhood_Mitchel + Neighborhood_BrDale +
## SaleCondition_Family + SaleCondition_AdjLand + Neighborhood_IDOTRR +
## YrSold + Neighborhood_NPkVill + HouseStyle_SFoyer + Neighborhood_Timber +
## KitchenQual_Fa + Neighborhood_Sawyer + Neighborhood_Blueste +
## Fireplaces + Neighborhood_Blmngtn + Neighborhood_CollgCr +
## Neighborhood_Gilbert + Neighborhood_Veenker + Neighborhood_StoneBr +
## HouseStyle_1.5Unf + Remodel + Neighborhood_SWISU + HouseStyle_1.5Fin +
## BedroomAbvGr + HouseStyle_1Story + HouseStyle_2.5Unf + Neighborhood_NWAmes +
## KitchenQual_Gd + Neighborhood_NAmes + Neighborhood_NAmes:GrLivArea2 +
## Neighborhood_NoRidge + Neighborhood_OldTown:GrLivArea2 +
## Neighborhood_NridgHt:LotArea + Neighborhood_NridgHt:BedroomAbvGr +
## Neighborhood_Somerst:GrLivArea2 + Neighborhood_StoneBr:GrLivArea2 +
## HouseStyle_1Story:GrLivArea2 + GrLivArea:Neighborhood_Sawyer +
## Neighborhood_Edwards:GrLivArea2 + LotArea:SaleCondition_Abnorml +
## LotArea:HouseStyle_1Story + KitchenQual_Ex:BedroomAbvGr +
## KitchenQual_Gd:BedroomAbvGr + Neighborhood_Somerst:LotArea +
## Neighborhood_Edwards:LotArea + Neighborhood_Veenker:BedroomAbvGr +
## Neighborhood_NAmes:BedroomAbvGr + SaleCondition_Family:BedroomAbvGr +
## Neighborhood_CollgCr:BedroomAbvGr + Neighborhood_StoneBr:LotArea +
## Neighborhood_Timber:GrLivArea2 + Neighborhood_Timber:BedroomAbvGr,
## data = one_encode_custom_train_data2)
##
## Residuals:
## Min 1Q Median 3Q Max
## -61271 -10880 353 10543 92341
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 175076.7 3857.9 45.381 < 2e-16 ***
## OverallQual 14948.1 923.3 16.189 < 2e-16 ***
## GarageCars 6905.4 706.5 9.774 < 2e-16 ***
## BsmtFullBath 7435.1 573.7 12.959 < 2e-16 ***
## KitchenQual_Ex 47357.4 3301.5 14.344 < 2e-16 ***
## YearRemodAdd 5099.1 806.6 6.322 3.57e-10 ***
## Neighborhood_OldTown -14318.9 3111.1 -4.603 4.59e-06 ***
## LotArea 10373.8 1275.7 8.132 1.00e-15 ***
## Neighborhood_Crawfor 21579.9 3989.7 5.409 7.58e-08 ***
## Neighborhood_NridgHt 25595.5 4629.3 5.529 3.91e-08 ***
## SaleCondition_Abnorml -26984.7 3026.9 -8.915 < 2e-16 ***
## Neighborhood_Somerst 11970.5 4547.8 2.632 0.008588 **
## HalfBath 4796.0 732.5 6.547 8.50e-11 ***
## Neighborhood_Edwards -15556.0 3682.0 -4.225 2.56e-05 ***
## SaleCondition_Normal -14083.0 2283.5 -6.167 9.34e-10 ***
## SaleCondition_Alloca -31675.1 7581.9 -4.178 3.15e-05 ***
## BsmtHalfBath 2208.9 536.9 4.114 4.14e-05 ***
## FullBath 4368.5 835.2 5.231 1.97e-07 ***
## Neighborhood_ClearCr 9689.5 5625.1 1.723 0.085215 .
## Neighborhood_MeadowV -17812.4 5731.1 -3.108 0.001925 **
## Neighborhood_SawyerW -3210.4 4049.9 -0.793 0.428101
## Neighborhood_Mitchel -3121.7 3974.5 -0.785 0.432347
## Neighborhood_BrDale -21992.3 5916.7 -3.717 0.000210 ***
## SaleCondition_Family -11373.3 6143.2 -1.851 0.064352 .
## SaleCondition_AdjLand -23127.9 9873.9 -2.342 0.019318 *
## Neighborhood_IDOTRR -11358.1 3908.2 -2.906 0.003722 **
## YrSold 322.1 521.8 0.617 0.537173
## Neighborhood_NPkVill -10657.0 7008.7 -1.521 0.128628
## HouseStyle_SFoyer -5414.9 3806.2 -1.423 0.155091
## Neighborhood_Timber 2732.0 4974.0 0.549 0.582929
## KitchenQual_Fa -4624.7 3360.2 -1.376 0.168972
## Neighborhood_Sawyer -7868.1 3998.2 -1.968 0.049295 *
## Neighborhood_Blueste -18338.2 13412.3 -1.367 0.171785
## Fireplaces 4209.9 629.3 6.690 3.34e-11 ***
## Neighborhood_Blmngtn -11264.5 6272.3 -1.796 0.072746 .
## Neighborhood_CollgCr 5234.8 3552.7 1.473 0.140878
## Neighborhood_Gilbert -4665.5 3982.7 -1.171 0.241644
## Neighborhood_Veenker 10890.7 7849.3 1.387 0.165542
## Neighborhood_StoneBr 27161.0 8499.6 3.196 0.001430 **
## HouseStyle_1.5Unf -5449.3 5169.3 -1.054 0.292008
## Remodel 234.6 645.2 0.364 0.716170
## Neighborhood_SWISU -4406.1 4875.1 -0.904 0.366283
## HouseStyle_1.5Fin -746.6 2183.6 -0.342 0.732480
## BedroomAbvGr 2099.7 903.9 2.323 0.020343 *
## HouseStyle_1Story 12335.1 1684.8 7.322 4.35e-13 ***
## HouseStyle_2.5Unf -1924.5 6446.5 -0.299 0.765349
## Neighborhood_NWAmes -1047.8 3976.4 -0.264 0.792196
## KitchenQual_Gd 6151.0 1561.5 3.939 8.63e-05 ***
## Neighborhood_NAmes -4974.0 3144.5 -1.582 0.113940
## Neighborhood_NoRidge 44960.6 4986.6 9.016 < 2e-16 ***
## GrLivArea:KitchenQual_Gd 19658.9 1353.5 14.525 < 2e-16 ***
## Neighborhood_NAmes:GrLivArea2 -7281.4 1894.1 -3.844 0.000127 ***
## Neighborhood_OldTown:GrLivArea2 -419.4 1849.4 -0.227 0.820618
## LotArea:Neighborhood_NridgHt 47929.5 5893.2 8.133 9.92e-16 ***
## Neighborhood_NridgHt:BedroomAbvGr -14385.6 4156.9 -3.461 0.000557 ***
## Neighborhood_Somerst:GrLivArea2 19300.5 3890.0 4.962 7.95e-07 ***
## Neighborhood_StoneBr:GrLivArea2 30206.5 11289.9 2.676 0.007557 **
## HouseStyle_1Story:GrLivArea2 19148.9 1592.4 12.025 < 2e-16 ***
## GrLivArea:Neighborhood_Sawyer -5882.2 3009.0 -1.955 0.050821 .
## Neighborhood_Edwards:GrLivArea2 -7615.5 3390.5 -2.246 0.024867 *
## LotArea:SaleCondition_Abnorml -5878.3 2506.9 -2.345 0.019186 *
## LotArea:HouseStyle_1Story -7505.1 1363.9 -5.503 4.53e-08 ***
## KitchenQual_Ex:BedroomAbvGr 2370.1 2642.9 0.897 0.369994
## KitchenQual_Gd:BedroomAbvGr -7146.9 1541.7 -4.636 3.93e-06 ***
## LotArea:Neighborhood_Somerst 9262.2 4029.4 2.299 0.021689 *
## LotArea:Neighborhood_Edwards 6825.8 3625.5 1.883 0.059967 .
## Neighborhood_Veenker:BedroomAbvGr -11119.2 7134.5 -1.559 0.119359
## BedroomAbvGr:Neighborhood_NAmes 2098.2 1784.6 1.176 0.239926
## SaleCondition_Family:BedroomAbvGr -9495.5 4323.2 -2.196 0.028243 *
## Neighborhood_CollgCr:BedroomAbvGr 4686.5 2242.6 2.090 0.036842 *
## LotArea:Neighborhood_StoneBr 18481.1 8874.8 2.082 0.037505 *
## Neighborhood_Timber:GrLivArea2 22402.3 5029.9 4.454 9.18e-06 ***
## Neighborhood_Timber:BedroomAbvGr -14039.6 5312.2 -2.643 0.008322 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 18200 on 1263 degrees of freedom
## Multiple R-squared: 0.9225, Adjusted R-squared: 0.9181
## F-statistic: 208.8 on 72 and 1263 DF, p-value: < 2.2e-16formatC(ols_press(lm_fit_custom3), format = "e", digits = 6)## [1] "4.778566e+11" ols_plot_cooksd_bar(lm_fit_custom3)
#
custom_model_outliers3 = ols_plot_cooksd_bar(lm_fit_custom3, print_plot=F)
custom_model_outliers3## $plot
##
## $outliers
## observation cooks_distance
## 4 4 0.005122990
## 6 6 0.003010633
## 13 13 0.003331044
## 21 21 0.003427980
## 25 25 0.003954106
## 28 28 0.003340634
## 30 30 0.004966804
## 55 55 0.009444897
## 106 106 0.054926479
## 107 107 0.022928881
## 121 121 0.005051206
## 135 135 0.004771030
## 146 146 0.004054060
## 148 148 0.005561582
## 150 150 0.010288539
## 151 151 0.003585499
## 175 175 0.011488498
## 215 215 0.032261889
## 292 292 0.004150089
## 296 296 0.003451543
## 298 298 0.005511239
## 300 300 0.007040563
## 302 302 0.043441573
## 304 304 0.011739386
## 347 347 0.015223066
## 348 348 0.018526607
## 354 354 0.007230205
## 357 357 0.009873760
## 375 375 0.005439788
## 387 387 0.006553706
## 410 410 0.004619370
## 415 415 0.003967139
## 421 421 0.005199579
## 426 426 0.004592230
## 434 434 0.005791624
## 437 437 0.004063505
## 442 442 0.005356032
## 444 444 0.016826784
## 450 450 0.003644700
## 464 464 0.006275494
## 475 475 0.006718690
## 498 498 0.003982602
## 502 502 0.004151244
## 504 504 0.004619983
## 516 516 0.003581269
## 525 525 0.004188984
## 586 586 0.003475261
## 599 599 0.005326867
## 602 602 0.004154748
## 611 611 0.004816799
## 615 615 0.004138826
## 640 640 0.013984768
## 647 647 0.003361415
## 660 660 0.005966959
## 663 663 0.003914551
## 670 670 0.011009530
## 678 678 0.007873294
## 696 696 0.004925941
## 731 731 0.003415402
## 750 750 0.005462329
## 769 769 0.003794535
## 779 779 0.003321619
## 785 785 0.004504428
## 883 883 0.003624961
## 892 892 0.008899119
## 899 899 0.003828983
## 913 913 0.005675306
## 931 931 0.003788474
## 940 940 0.005193604
## 951 951 0.003525726
## 963 963 0.008204139
## 965 965 0.003083240
## 975 975 0.003194827
## 1000 1000 0.021197819
## 1029 1029 0.003174650
## 1032 1032 0.003421334
## 1045 1045 0.003697353
## 1046 1046 0.005799861
## 1063 1063 0.005117314
## 1064 1064 0.003001825
## 1071 1071 0.003218261
## 1076 1076 0.010076546
## 1119 1119 0.006232997
## 1121 1121 0.004709779
## 1123 1123 0.017505069
## 1127 1127 0.003170341
## 1136 1136 0.016467710
## 1143 1143 0.003465701
## 1146 1146 0.009305390
## 1194 1194 0.006566926
## 1228 1228 0.004029227
## 1237 1237 0.011019359
## 1244 1244 0.023561500
## 1256 1256 0.021255261
## 1266 1266 0.004317916
## 1276 1276 0.005676782
## 1283 1283 0.010966750
## 1310 1310 0.004035856
## 1315 1315 0.003731918
## 1326 1326 0.010714469
##
## $threshold
## [1] 0.002994012#
ols_plot_dffits(lm_fit_custom3)
#ols_plot_diagnostics(lm_fit_custom3)
#
ols_plot_resid_fit(lm_fit_custom3)
ols_plot_resid_pot(lm_fit_custom3)
ols_pred_rsq(lm_fit_custom3)## [1] 0.9115029plot(lm_fit_custom3)
custom_predictions3 = c(predict(lm_fit_custom3, newdata = one_encode_custom_test_data2))
#
#
custom_predictions3 = data.frame(Id= one_encode_custom_test_data2$Id, SalePrice=custom_predictions3)
custom_predictions3## Id SalePrice
## 1 1461 110330.15
## 2 1462 144747.30
## 3 1463 166291.69
## 4 1464 181464.63
## 5 1465 180850.95
## 6 1466 169515.28
## 7 1467 169766.09
## 8 1468 167011.16
## 9 1469 197321.57
## 10 1470 123183.18
## 11 1471 195730.46
## 12 1472 103109.12
## 13 1473 94421.49
## 14 1474 148687.78
## 15 1475 119258.66
## 16 1476 338912.32
## 17 1477 281562.95
## 18 1478 317195.43
## 19 1479 336440.17
## 20 1480 433389.73
## 21 1481 326364.62
## 22 1482 220966.05
## 23 1483 163406.29
## 24 1484 153123.30
## 25 1485 204891.73
## 26 1486 197489.03
## 27 1487 309771.96
## 28 1488 246341.40
## 29 1489 188571.84
## 30 1490 214782.15
## 31 1491 195189.56
## 32 1492 106502.45
## 33 1493 174361.98
## 34 1494 309342.98
## 35 1495 300483.87
## 36 1496 216818.83
## 37 1497 198675.65
## 38 1498 157280.95
## 39 1499 170122.24
## 40 1500 161023.71
## 41 1501 184041.58
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## 1459 2919 190268.35write_csv(custom_predictions3, "../kaggleData/customSelection5Predictions.csv")custom3_vif = VIF(lm_fit_custom3)
c(custom3_vif)## OverallQual GarageCars
## 3.434361 2.010731
## BsmtFullBath KitchenQual_Ex
## 1.326007 2.004140
## YearRemodAdd Neighborhood_OldTown
## 2.620698 2.850269
## LotArea Neighborhood_Crawfor
## 6.556096 1.908920
## Neighborhood_NridgHt SaleCondition_Abnorml
## 3.469608 2.368389
## Neighborhood_Somerst HalfBath
## 4.803565 2.161594
## Neighborhood_Edwards SaleCondition_Normal
## 3.504457 2.827885
## SaleCondition_Alloca BsmtHalfBath
## 1.207898 1.161304
## FullBath Neighborhood_ClearCr
## 2.809789 1.788318
## Neighborhood_MeadowV Neighborhood_SawyerW
## 1.566787 2.473483
## Neighborhood_Mitchel Neighborhood_BrDale
## 2.161492 1.566741
## SaleCondition_Family SaleCondition_AdjLand
## 1.577619 1.173241
## Neighborhood_IDOTRR YrSold
## 1.614529 1.096879
## Neighborhood_NPkVill HouseStyle_SFoyer
## 1.325062 1.531387
## Neighborhood_Timber KitchenQual_Fa
## 2.331772 1.193519
## Neighborhood_Sawyer Neighborhood_Blueste
## 3.328882 1.084020
## Fireplaces Neighborhood_Blmngtn
## 1.595170 1.644598
## Neighborhood_CollgCr Neighborhood_Gilbert
## 5.012460 3.430686
## Neighborhood_Veenker Neighborhood_StoneBr
## 1.478423 2.806409
## HouseStyle_1.5Unf Remodel
## 1.195906 1.677114
## Neighborhood_SWISU HouseStyle_1.5Fin
## 1.412885 1.814536
## BedroomAbvGr HouseStyle_1Story
## 3.291560 2.860500
## HouseStyle_2.5Unf Neighborhood_NWAmes
## 1.120998 2.993493
## KitchenQual_Gd Neighborhood_NAmes
## 2.355678 5.503091
## Neighborhood_NoRidge GrLivArea:KitchenQual_Gd
## 2.486230 2.999251
## Neighborhood_NAmes:GrLivArea2 Neighborhood_OldTown:GrLivArea2
## 2.232012 1.187701
## LotArea:Neighborhood_NridgHt Neighborhood_NridgHt:BedroomAbvGr
## 2.073721 2.524357
## Neighborhood_Somerst:GrLivArea2 Neighborhood_StoneBr:GrLivArea2
## 1.632930 1.768739
## HouseStyle_1Story:GrLivArea2 GrLivArea:Neighborhood_Sawyer
## 2.739702 1.742856
## Neighborhood_Edwards:GrLivArea2 LotArea:SaleCondition_Abnorml
## 1.861740 1.202514
## LotArea:HouseStyle_1Story KitchenQual_Ex:BedroomAbvGr
## 5.263818 1.677084
## KitchenQual_Gd:BedroomAbvGr LotArea:Neighborhood_Somerst
## 3.422137 2.165835
## LotArea:Neighborhood_Edwards Neighborhood_Veenker:BedroomAbvGr
## 1.168462 1.294468
## BedroomAbvGr:Neighborhood_NAmes SaleCondition_Family:BedroomAbvGr
## 2.121611 1.437623
## Neighborhood_CollgCr:BedroomAbvGr LotArea:Neighborhood_StoneBr
## 1.423452 1.784853
## Neighborhood_Timber:GrLivArea2 Neighborhood_Timber:BedroomAbvGr
## 2.664047 2.254485